Paper Citation Record · LEDGER

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds

As of 14 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2506.14972.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.14972 v3

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measured 49 of 49 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

49 of 49 outbound references displayed

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Outbound references

Observation a606a51c-e233-4345-ad13-b106655946b8 · outbound

This paper cites Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires

Reference 1

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This paper cites Callens and Amir A.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Callens and Amir A

Reference 2

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Observation 9180a780-7577-442e-9427-709ab787d08c · outbound

This paper cites Riemannian geometry.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Riemannian geometry

Reference 3

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Unresolved cited work

Reference 4

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This paper cites Thurston.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Thurston

Reference 5

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This paper cites The entropy formula for the Ricci flow and its geometric applications.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds The entropy formula for the Ricci flow and its geometric applications

Reference 6

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This paper cites Finite extinction time for the solutions to the Ricci flow on certain three-manifolds.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 7

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

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Ricci flow with surgery on three-manifolds

Reference 8

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This paper cites Some remarks on the gauss-bonnet integral.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Some remarks on the gauss-bonnet integral

Reference 9

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This paper cites Compact four-dimensional einstein manifolds.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Compact four-dimensional einstein manifolds

Reference 10

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This paper cites Algebraic Topology.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Algebraic Topology

Reference 11

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Observation 573d5ff2-2d7d-4788-af1a-10d41ade741d · outbound

This paper cites Stasheff.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Stasheff

Reference 12

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Observation 9a5f665c-e02b-44bf-90b2-e6459cb503a6 · outbound

This paper cites Topological Methods in Algebraic Geometry.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Topological Methods in Algebraic Geometry

Reference 13

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This paper cites Atiyah and Isadore M.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Atiyah and Isadore M

Reference 14

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This paper cites Riemannian manifolds with positive mean curvature.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Riemannian manifolds with positive mean curvature

Reference 15

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This paper cites On a deformation of riemannian structures on compact manifolds.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds On a deformation of riemannian structures on compact manifolds

Reference 16

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Observation 161a955d-c199-466a-89a2-50517b9cd5f6 · outbound

This paper cites From minimal surfaces to einstein 4-manifolds and back.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds From minimal surfaces to einstein 4-manifolds and back

Reference 17

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This paper cites A surface useful for illustrating the implicit function theorem.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds A surface useful for illustrating the implicit function theorem

Reference 18

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This paper cites The ricci flow: an introduction.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds The ricci flow: an introduction

Reference 19

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This paper cites Ricci flow and the sphere theorem, volume 111.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Ricci flow and the sphere theorem, volume 111

Reference 20

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This paper cites The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

Reference 21

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Topology from the differentiable viewpoint, volume 21

Reference 22

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Galloway

Reference 23

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Observation 193e8535-b513-4f38-93bb-eb5770e33e14 · outbound

This paper cites A survey on classical minimal surface theory, volume 60.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds A survey on classical minimal surface theory, volume 60

Reference 24

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This paper cites Minimal hypersurfaces and geometric inequalities.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Minimal hypersurfaces and geometric inequalities

Reference 25

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This paper cites Lectures on Minimal Surface Theory.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Lectures on Minimal Surface Theory

Reference 26

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This paper cites Tricks wiki: Give yourself an epsilon of room, Apr 2009.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Tricks wiki: Give yourself an epsilon of room, Apr 2009

Reference 27

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Lectures on mean curvature flow of surfaces

Reference 28

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This paper cites The space of minimal embeddings of a surface into a three-dimensional manifold of positive ricci curvature.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds The space of minimal embeddings of a surface into a three-dimensional manifold of positive ricci curvature

Reference 29

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This paper cites Total Mean Curvature and Submanifolds of Finite Type, volume 1 of Series in Pure Mathematics.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Total Mean Curvature and Submanifolds of Finite Type, volume 1 of Series in Pure Mathematics

Reference 30

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This paper cites Lectures on Geometric Measure Theory, volume 3 of Proceedings of the Centre for Mathematical Analysis.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Lectures on Geometric Measure Theory, volume 3 of Proceedings of the Centre for Mathematical Analysis

Reference 31

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Anderson

Reference 32

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This paper cites Curvature and injectivity radius estimates for einstein 4-manifolds.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Curvature and injectivity radius estimates for einstein 4-manifolds

Reference 33

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This paper cites Compactness of the moduli space of self-dual connections on 4-manifolds.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Compactness of the moduli space of self-dual connections on 4-manifolds

Reference 34

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Einstein metrics

Reference 35

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth

Reference 36

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Trudinger

Reference 37

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This paper cites Minimal hypersurfaces with bounded index.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Minimal hypersurfaces with bounded index

Reference 38

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This paper cites Morse index, Betti numbers and singular set of bounded area minimal hypersurfaces.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Morse index, Betti numbers and singular set of bounded area minimal hypersurfaces

Reference 39

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This paper cites Homogeneous einstein spaces of dimension four.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Homogeneous einstein spaces of dimension four

Reference 40

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This paper cites Handbook of Differential Geometry, volume 1.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Handbook of Differential Geometry, volume 1

Reference 41

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This paper cites Minimal immersions of riemannian manifolds.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Minimal immersions of riemannian manifolds

Reference 42

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Observation 8a39fc70-838e-41e6-8d81-2e8ebfb66cfe · outbound

This paper cites Einstein 4-manifolds and minimal surfaces, 2024.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Einstein 4-manifolds and minimal surfaces, 2024

Reference 43

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This paper cites Algebraic Geometry: A First Course, volume 133 of Graduate Texts in Mathematics.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Algebraic Geometry: A First Course, volume 133 of Graduate Texts in Mathematics

Reference 44

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On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Takeuchi's equality for the levi form of the fubini--study distance to complex submanifolds in complex projective spaces

Reference 45

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This paper cites Basic algebraic geometry, volume 2.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Basic algebraic geometry, volume 2

Reference 46

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This paper cites The Geometry of Physics: An Introduction.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds The Geometry of Physics: An Introduction

Reference 47

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This paper cites Foundations of Differential Geometry, Vol.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds Foundations of Differential Geometry, Vol

Reference 48

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This paper cites do Carmo and Nolan R.

On the Parallels Between Minimal Surfaces and Einstein Four-Manifolds do Carmo and Nolan R

Reference 49

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Pith citing papers

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