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Paper Citation Record · LEDGER

Positive curvature conditions on contractible manifolds

As of 15 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 1 inbound Pith citation observation for arXiv:2507.15719.

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pith.paper-citation-record.v1
2507.15719 v1

Coverage vector

measured 70 of 70 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T15:43:00.215965Z

measured 71 of 71 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:05.004156Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-06T00:54:05.486958Z

Reference resolution

70 of 70 outbound references displayed

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Outbound references

Observation fd2886a3-44ac-4a2d-b550-782fd37db50a · outbound

This paper cites Complete 3-manifolds of positive scalar curvature with quadratic decay.

Positive curvature conditions on contractible manifolds Complete 3-manifolds of positive scalar curvature with quadratic decay

Reference 1

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c5dc03ea-d2af-450f-8cff-bb473432ea41 · outbound

This paper cites Boundary conditions for scalar curvature.

Positive curvature conditions on contractible manifolds Boundary conditions for scalar curvature

Reference 2

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Observation c8f9a4ab-1a1f-49cc-a051-c958c2c904b4 · outbound

This paper cites Ricci flow on open 3-manifolds and positive scalar curvature.

Positive curvature conditions on contractible manifolds Ricci flow on open 3-manifolds and positive scalar curvature

Reference 3

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Observation 3931e92d-8976-4307-8650-193cc5b977fa · outbound

This paper cites Deform- ing 3-manifolds of bounded geometry and uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Deform- ing 3-manifolds of bounded geometry and uniformly positive scalar curvature

Reference 4

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Observation 29bec0ea-7139-4b77-b00c-a0e35fb9b819 · outbound

This paper cites Ricci flow and the sphere theorem.

Positive curvature conditions on contractible manifolds Ricci flow and the sphere theorem

Reference 5

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source=pdf_text observed=2026-08-06T15:43:00.054880Z digest=sha256:b4ce6265a67e0ab8fc1cb111b2471987a20d5dece05d4d5696c3ab33b5b6bb45

Observation bb27f736-e784-4cd5-8bea-438af578a735 · outbound

This paper cites Ricci flow with surgery on manifolds with positive isotropic curva- ture.

Positive curvature conditions on contractible manifolds Ricci flow with surgery on manifolds with positive isotropic curva- ture

Reference 6

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Observation 2e377835-fef4-4491-a278-f5645d6d7cbb · outbound

This paper cites Quasi-isometries and ends of groups.

Positive curvature conditions on contractible manifolds Quasi-isometries and ends of groups

Reference 7

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Observation 4a49c590-d6e0-491d-bde4-b7ab6990d482 · outbound

This paper cites Metrics of positive Ricci curvature on the connected sums of prod- ucts with arbitrarily many spheres.

Positive curvature conditions on contractible manifolds Metrics of positive Ricci curvature on the connected sums of prod- ucts with arbitrarily many spheres

Reference 8

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Observation 0674b7ac-610b-416e-8fb0-b119b2f469d2 · outbound

This paper cites Ricci-positive metrics on connected sums of projective spaces.

Positive curvature conditions on contractible manifolds Ricci-positive metrics on connected sums of projective spaces

Reference 9

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source=pdf_text observed=2026-08-06T15:43:00.065039Z digest=sha256:2e26b115c4f07a1cee050233b18f38f9aa106070c248fa9e4b4689f2093aeb06

Observation f144961c-475c-4b92-90d7-b4f27fe092f0 · outbound

This paper cites Constrained deformations of positive scalar cur- vature metrics.

Positive curvature conditions on contractible manifolds Constrained deformations of positive scalar cur- vature metrics

Reference 10

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Observation 8434d539-594e-4b26-802f-3aafef5c9846 · outbound

This paper cites Constrained deformations of positive scalar cur- vature metrics, II.

Positive curvature conditions on contractible manifolds Constrained deformations of positive scalar cur- vature metrics, II

Reference 11

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Observation bff17a71-f75a-4195-8178-62315afab66f · outbound

This paper cites Taming 3-manifolds using scalar curvature.

Positive curvature conditions on contractible manifolds Taming 3-manifolds using scalar curvature

Reference 12

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Observation d23c5722-b4ab-4f65-9b30-f28bb8f5b1f1 · outbound

This paper cites On the structure of complete manifolds of nonneg- ative curvature.

Positive curvature conditions on contractible manifolds On the structure of complete manifolds of nonneg- ative curvature

Reference 13

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Observation bb9c5b76-4099-4781-b92d-7fbd9a49a56c · outbound

This paper cites Complete classification of com- pact four-manifolds with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Complete classification of com- pact four-manifolds with positive isotropic curvature

Reference 14

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Observation 0ff52920-8f50-48c5-a5fb-d12aabaa6227 · outbound

This paper cites Positive scalar curvature metrics and aspherical summands.

Positive curvature conditions on contractible manifolds Positive scalar curvature metrics and aspherical summands

Reference 15

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Observation 9934a07e-177a-4466-9862-6bd18099ea84 · outbound

This paper cites 3-Manifolds with positive scalar curvature and bounded geometry.

Positive curvature conditions on contractible manifolds 3-Manifolds with positive scalar curvature and bounded geometry

Reference 16

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Observation 685f2d75-545b-486c-b6c7-c58728f766fc · outbound

This paper cites Generalized soap bubbles and the topology of manifolds with positive scalar curvature.

Positive curvature conditions on contractible manifolds Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Reference 17

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Observation 4701420b-e08d-4af9-ae6a-ccf1c86aa58c · outbound

This paper cites Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions.

Positive curvature conditions on contractible manifolds Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions

Reference 18

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Observation 17c2e718-5fd7-4c8a-a533-253038267c4d · outbound

This paper cites Complete Riemannian 4-manifolds with uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Complete Riemannian 4-manifolds with uniformly positive scalar curvature

Reference 19

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source=pdf_text observed=2026-08-06T15:43:00.089898Z digest=sha256:e51fc7faa2dd5148073e5840c2b637a97ba3bd1275a416885c99ea15919a7e1e

Observation b353431c-2c62-410b-acef-248b23543210 · outbound

This paper cites Positivity of curvature on manifolds with boundary.

Positive curvature conditions on contractible manifolds Positivity of curvature on manifolds with boundary

Reference 20

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Observation f9221392-c73c-4692-bcf7-3f969df48fea · outbound

This paper cites K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen.

Positive curvature conditions on contractible manifolds K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen

Reference 21

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Observation 4ca72a63-3e1c-4ddf-8362-3f6b85f1f67a · outbound

This paper cites Three-manifolds with bounded curvature and uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Three-manifolds with bounded curvature and uniformly positive scalar curvature

Reference 22

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Observation 33db4a1f-1c5f-4196-8c67-28882e7b22f0 · outbound

This paper cites Compactness of the space of embedded min- imal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary.

Positive curvature conditions on contractible manifolds Compactness of the space of embedded min- imal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Reference 23

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Observation 57e45a98-9dc2-461a-9579-2918fb1aec60 · outbound

This paper cites The topology of four-dimensional manifolds.

Positive curvature conditions on contractible manifolds The topology of four-dimensional manifolds

Reference 24

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Observation c3b26e25-bce4-4f6d-85b8-016954b69e3e · outbound

This paper cites ¨Uber die Enden diskreter R¨ aume und Gruppen.

Positive curvature conditions on contractible manifolds ¨Uber die Enden diskreter R¨ aume und Gruppen

Reference 25

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Observation 8e902d22-556c-48e1-986e-d347c2f05a40 · outbound

This paper cites Foliations and the topology of 3-manifolds. III.

Positive curvature conditions on contractible manifolds Foliations and the topology of 3-manifolds. III

Reference 26

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Observation 16681eae-24a9-478c-9ed5-a3a92661de06 · outbound

This paper cites On complete open manifolds of positive curva- ture.

Positive curvature conditions on contractible manifolds On complete open manifolds of positive curva- ture

Reference 27

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Observation 8525e188-0c9d-45ab-b554-7e70393f7e14 · outbound

This paper cites Partial differential relations.

Positive curvature conditions on contractible manifolds Partial differential relations

Reference 28

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Observation df66dd27-6783-4405-be76-a8d90b4b722b · outbound

This paper cites The classification of simply connected manifolds of positive scalar curvature.

Positive curvature conditions on contractible manifolds The classification of simply connected manifolds of positive scalar curvature

Reference 29

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source=pdf_text observed=2026-08-06T15:43:00.114410Z digest=sha256:f67725d5c18f4f804c99cde756c616e4cc41a67a97abd471af18fe310471b7ab

Observation d70daed2-92f8-4461-987e-eda5eaad922e · outbound

This paper cites Four lectures on scalar curvature.

Positive curvature conditions on contractible manifolds Four lectures on scalar curvature

Reference 30

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Observation e6bec9be-1072-4752-80cb-5ef375a89311 · outbound

This paper cites Four-manifolds with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Four-manifolds with positive isotropic curvature

Reference 31

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source=pdf_text observed=2026-08-06T15:43:00.119135Z digest=sha256:1f294c139be9a228310fedf9b740a8043ae93f7f1cde35bb4091af9dd341a0e9

Observation 28c609c2-82e8-4707-a62a-f809bce5992a · outbound

This paper cites Three-manifolds with positive Ricci curvature.

Positive curvature conditions on contractible manifolds Three-manifolds with positive Ricci curvature

Reference 32

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Observation dbf5c5bb-7a5f-429b-b47a-5b6796ea6af1 · outbound

This paper cites 3 -Manifolds.

Positive curvature conditions on contractible manifolds 3 -Manifolds

Reference 33

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Observation 454c9f19-1a35-476f-8add-f13260c567d2 · outbound

This paper cites Enden offener R¨ aume und unendliche diskontinuierliche Gruppen.

Positive curvature conditions on contractible manifolds Enden offener R¨ aume und unendliche diskontinuierliche Gruppen

Reference 34

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source=pdf_text observed=2026-08-06T15:43:00.126271Z digest=sha256:a68e49a42e8d5acf4d3df2aa475a82c3170ab66f7b3603bc24d959026c71e437

Observation 566504ec-c68c-45a4-a7ed-b9f3ba6698e3 · outbound

This paper cites Classification of compact manifolds with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Classification of compact manifolds with positive isotropic curvature

Reference 35

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source=pdf_text observed=2026-08-06T15:43:00.128605Z digest=sha256:6d6ba9c1c74ee9e8c4cce145f3edc9d0ac886ed321766560d1f034f02d2a7a7a

Observation 4ceeb624-ea2a-4002-980f-a8e0d4741599 · outbound

This paper cites Compact manifolds of dimension $n\geq 12$ with positive isotropic curvature.

Positive curvature conditions on contractible manifolds Compact manifolds of dimension $n\geq 12$ with positive isotropic curvature

Reference 36

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local_arxiv, observed 2026-08-06T15:43:00.264719Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T15:43:00.131375Z digest=sha256:e0bc77181b7fb1fcc709139480b530e95b20d0b90ac12ba60206dfa268ab1b0c

Observation 1d235dfb-593a-4f6a-838d-3a5cf76d5bde · outbound

This paper cites On subharmonic functions and differential geometry in the large.

Positive curvature conditions on contractible manifolds On subharmonic functions and differential geometry in the large

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.686373Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.134160Z digest=sha256:afbf17749d46219a31406d6e290f0ec37836553fe942ef866fcdaf65085a78d5

Observation 80e8b7f3-90b1-4bfb-8cad-ab8f2c24ed6d · outbound

This paper cites Smooth homology spheres and their fundamental groups.

Positive curvature conditions on contractible manifolds Smooth homology spheres and their fundamental groups

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.679020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.137942Z digest=sha256:f351d514efce4c4c970a91592bc631283452ba7c69064a26e20960f13fe5b20a

Observation 97d990bb-3084-4c5a-97ae-c51211305851 · outbound

This paper cites Embedding and surrounding with positive mean curvature.

Positive curvature conditions on contractible manifolds Embedding and surrounding with positive mean curvature

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.671333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.140337Z digest=sha256:4a91fc37af01b7cb54984a23a300884ce0f9f9f2f22427fc3e64a1d67c3c274c

Observation 66c9a228-c9c5-4800-8104-ccd78eab549c · outbound

This paper cites Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature.

Positive curvature conditions on contractible manifolds Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.663641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.142636Z digest=sha256:044a1a535ff025c76ae6e7fdc2a18e61ae9a09107cf88f5715d99b6baa9934b2

Observation 2103141f-c6d4-4c07-a6c1-7f72f06cc78b · outbound

This paper cites Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes.

Positive curvature conditions on contractible manifolds Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.656215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.144947Z digest=sha256:d66551ce58dcec3a2eceb73dc1fb890a9c22460d610c2db792aec3c8b06a9133

Observation 3d3188fe-5725-4722-973f-696225f7f427 · outbound

This paper cites A note on curvature and fundamental group.

Positive curvature conditions on contractible manifolds A note on curvature and fundamental group

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.648749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.147373Z digest=sha256:b6a096b865363b495cd40fbcff21199625db7e9c476e2af3a418116997487024

Observation 83e83dec-b9f8-421d-82a9-cd03200a00a1 · outbound

This paper cites Lectures on the h-cobordism theorem.

Positive curvature conditions on contractible manifolds Lectures on the h-cobordism theorem

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.640916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.149815Z digest=sha256:8ec0045ae3d2602fdfb9a28f25d27c9ab29b1a81ec9dd5493eae7193b4914af3

Observation 4631eab9-ed9f-4016-8a17-fd8305c0bd58 · outbound

This paper cites Absolutely graded Floer homologies and intersec- tion forms for four-manifolds with boundary.

Positive curvature conditions on contractible manifolds Absolutely graded Floer homologies and intersec- tion forms for four-manifolds with boundary

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.633774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.152222Z digest=sha256:2085e1a39181b982abb95069b2f950fc6883fbf422e1399234297d9772698424

Observation c58f6f84-b3cf-4dc0-8ae9-c1903c4d292a · outbound

This paper cites Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers.

Positive curvature conditions on contractible manifolds Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.626531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.154665Z digest=sha256:e56f3fb84967e7fe3a0d1c45bede9ce6113963da21ecf109ec492394e7232563

Observation ade9629f-8aaf-4ef0-b2b1-faed67764358 · outbound

This paper cites Proof of the soul conjecture of Cheeger and Gromoll.

Positive curvature conditions on contractible manifolds Proof of the soul conjecture of Cheeger and Gromoll

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.619183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.156889Z digest=sha256:1e8133b480d2eddeb5d1e643bc1d6ddf61397ab4c0adfd3a81b1152f04f8049f

Observation 425af807-b469-4406-9b4d-822f89cb4817 · outbound

This paper cites Ricci flow with surgery on three-manifolds.

Positive curvature conditions on contractible manifolds Ricci flow with surgery on three-manifolds

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.611663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.159193Z digest=sha256:3831fe46de093f191305384e254c1a073d4a044f6d1f506495884d6253760d5c

Observation 043cacdb-9ace-43aa-b1a5-e931d39f4231 · outbound

This paper cites Some results on nonnegatively curved manifolds.

Positive curvature conditions on contractible manifolds Some results on nonnegatively curved manifolds

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.604387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.161559Z digest=sha256:ce8038cbf37ea638f5c52b1c3d5335e5565b925d9ed51001d11050e882cdc358

Observation 388d8bad-6e64-4ba1-9a9d-e19992f97784 · outbound

This paper cites Scalar and mean curvature comparison via µ-bubbles.

Positive curvature conditions on contractible manifolds Scalar and mean curvature comparison via µ-bubbles

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.596904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.163876Z digest=sha256:4526c144d0d35054e7403e208b8bff5447dc84daf67c1620be6ee26c783537e1

Observation 088d7c94-4e1e-4044-847e-9a277faf70d9 · outbound

This paper cites Manifolds of positive scalar curvature: a progress report.

Positive curvature conditions on contractible manifolds Manifolds of positive scalar curvature: a progress report

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.586073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.166202Z digest=sha256:ae989025da98f5be340512b408a47f584a302cdc29064090e4b1f92526a55aea

Observation 8b9b832c-3f1e-466d-9d5d-0addc7aa5637 · outbound

This paper cites Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature.

Positive curvature conditions on contractible manifolds Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.578933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.168685Z digest=sha256:29a1dea7a9d53244d3426b41af558d8d0c953dc7fd5b32ae5671f257f1d89332

Observation 1a0cfc19-9b3b-4144-be0f-f096a573fff8 · outbound

This paper cites On the structure of manifolds with positive scalar curvature.

Positive curvature conditions on contractible manifolds On the structure of manifolds with positive scalar curvature

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.571422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.171165Z digest=sha256:d63723650b78880dd03ed851833f2218e55329872834313542f1a24a85c0b3ae

Observation 2721a995-b55b-4555-9c71-3f7d0d80a5ae · outbound

This paper cites p-convex Riemannian manifolds.

Positive curvature conditions on contractible manifolds p-convex Riemannian manifolds

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.563724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.173588Z digest=sha256:f91b616b673d334c30de81f90a86f86f712aec0c7fa916c287e95b15c4302fec

Observation 53b6cbd9-a935-435d-8228-31392c0f625a · outbound

This paper cites Handlebodies and p-convexity.

Positive curvature conditions on contractible manifolds Handlebodies and p-convexity

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.556844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.176254Z digest=sha256:71335e2da555cf72e8ac80fa7801b9286e173e517b94c334cf94c909acd3ba02

Observation fb7ca342-3e6e-4dd2-bb93-74c5ac074d8f · outbound

This paper cites Examples of manifolds of positive Ricci curvature.

Positive curvature conditions on contractible manifolds Examples of manifolds of positive Ricci curvature

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.549741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.178619Z digest=sha256:366599d8908ada2d7153de41a52abdb02c98ac56360fa1efba6dc8046d590261

Observation 25500fb6-c103-4582-a65f-7d06860dedab · outbound

This paper cites Positive Ricci curvature on the connected sums of Sn × Sm.

Positive curvature conditions on contractible manifolds Positive Ricci curvature on the connected sums of Sn × Sm

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.542335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.180942Z digest=sha256:e0863eada8898470d98be8c905a712e04dcb4b603c8ac776e5f50dd4ece51eda

Observation 3d1624b7-4fa2-45eb-b3c4-cc8c1d97912e · outbound

This paper cites Homology spheres which are covered by spheres.

Positive curvature conditions on contractible manifolds Homology spheres which are covered by spheres

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.535328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.183378Z digest=sha256:328a0f1a73cdfe7a2e800109939f212c6e8c0f3ba4dd59decb29ac76a0ed4986

Observation 407dda1c-4c43-49f4-9edd-10ad5018c438 · outbound

This paper cites Generalized Poincar´ e’s conjecture in dimensions greater than four.

Positive curvature conditions on contractible manifolds Generalized Poincar´ e’s conjecture in dimensions greater than four

Reference 58

Resolution
verified exact
doi, observed 2026-08-06T15:43:00.244543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.185758Z digest=sha256:7947cb41211ed6958c03c988bee4a95985f3d188908f7bd281534c695bb03b26

Observation 0418ebcc-5bfb-4706-a90d-27ef5dee59c5 · outbound

This paper cites On the structure of manifolds.

Positive curvature conditions on contractible manifolds On the structure of manifolds

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.528118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.188162Z digest=sha256:a5318f2033733fddcf317996aaed9d2fb87ddda82df54c66243a815eea0269dd

Observation ddfc1a36-a151-4f8e-8018-a3ce807673de · outbound

This paper cites The piecewise-linear structure of Euclidean space.

Positive curvature conditions on contractible manifolds The piecewise-linear structure of Euclidean space

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.520796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.190772Z digest=sha256:ef662d609b2146e4023cc3d2a28fc573c3f6d23c4f0546d2622855f6b52a986d

Observation 9712deb2-e57f-408e-968c-107c3474a89a · outbound

This paper cites A volume invariant of coverings.

Positive curvature conditions on contractible manifolds A volume invariant of coverings

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.513377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.193167Z digest=sha256:13c61d3ba82641b4219a07a187fedde24f950bd89f67d1db09a03de833800e3d

Observation 4e7f31b9-b6e7-4121-9649-4ca3c9f4c094 · outbound

This paper cites Gauge theory on asymptotically periodic 4-manifolds.

Positive curvature conditions on contractible manifolds Gauge theory on asymptotically periodic 4-manifolds

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.506059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.195595Z digest=sha256:29550b9a033ac43c74e2aa1c81c4f13981580f6b184000b6835ade03977d075d

Observation 3422a19c-7f95-48db-91e7-3103052f4d03 · outbound

This paper cites Poincar´ e complexes. I.

Positive curvature conditions on contractible manifolds Poincar´ e complexes. I

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.498846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.198264Z digest=sha256:8c94083e7ffb7498d895c6bb52a7223bc5389c7844c503730b8e27774ddec79f

Observation 499be0d0-7b2d-4d26-8a7c-dcbcd42f1480 · outbound

This paper cites Boundary convexity on manifolds with nonnegative Ricci curva- ture.

Positive curvature conditions on contractible manifolds Boundary convexity on manifolds with nonnegative Ricci curva- ture

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.491500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.200631Z digest=sha256:4801b17af0de2d986447a93ff9799ef08acdb1c8ca32e74c19fb19533dd3eb06

Observation 8d9bb568-9d3b-4d63-9b47-3cd536084cce · outbound

This paper cites Contractible 3-manifolds and positive scalar curvature (I).

Positive curvature conditions on contractible manifolds Contractible 3-manifolds and positive scalar curvature (I)

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.483257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.202904Z digest=sha256:26d16918aa1bfa4d0c8488c3f65548183d059b04c77a4fb9e1490f8ab15f4d6b

Observation 064aeee7-c710-4363-ad47-cf7c84f69297 · outbound

This paper cites Contractible 3-manifolds and positive scalar curvature (II).

Positive curvature conditions on contractible manifolds Contractible 3-manifolds and positive scalar curvature (II)

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.475648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.205258Z digest=sha256:68859bd4f4a9750b940c00fa7df05edcc30de3aac22710b999c721974361254b

Observation e1ca7d0d-d91e-46a5-aaad-1c3c323c1b23 · outbound

This paper cites Topology of $3$-manifolds with uniformly positive scalar curvature.

Positive curvature conditions on contractible manifolds Topology of $3$-manifolds with uniformly positive scalar curvature

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-06T15:43:00.207531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:43:00.207531Z digest=sha256:9531b56730a4b83addca8df2066d9414d428961dff3a753b382426d8eed64951

Observation a3d7c571-29b5-4828-b9c8-d56bc446b2a9 · outbound

This paper cites Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary.

Positive curvature conditions on contractible manifolds Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.467601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.211152Z digest=sha256:36849d90f73f9d88052a082b6eb6e8e235be75b9cae9e9ace954ae2ccaac0b3d

Observation 7823d212-6623-446e-8976-d8d4fad643f4 · outbound

This paper cites Problem section.

Positive curvature conditions on contractible manifolds Problem section

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.459755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.213678Z digest=sha256:de8cf67958e7974bdf1178b0bc5ed8244ccc1095952ae72e71db89da9e63c618

Observation 6e22ffcc-256e-40c6-a315-ba87676cc1f6 · outbound

This paper cites Width estimate and doubly warped product.

Positive curvature conditions on contractible manifolds Width estimate and doubly warped product

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:43:00.452099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T15:43:00.215965Z digest=sha256:1afb74103ea2f160f6cdad9eda82ee09975016552f02f2e23fd0ebcc1f6105a8

Pith citing papers

Observation 635bd773-693e-4d60-a97c-daf08ad653dc · inbound

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay cites this paper.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive curvature conditions on contractible manifolds

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:54:05.572807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T00:54:05.004156Z digest=sha256:31f05a2648517104c25623eb0a53910a3849650f75218b8c470b35ea885bd5f6