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Let $M$ be a connected analytic complete pseudo-Riemannian manifold that admits an isometric $\\widetilde{\\mathrm{U}}(p,q)$-action and that satisfies $\\dim M \\leq n(n+2)$ where $n = p+q$. We prove that if the action of $\\widetilde{\\mathrm{SU}}(p,q)$ (the connected derived group of $\\widetilde{\\mathrm{U}}(p,q)$) has a dense orbit and the center of $\\widetilde{\\mathrm{U}}(p,q)$ acts non-trivially, then $M$ is"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.01483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-04T22:02:16Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"0d621a61bd56e30f76d8f0f131011b89b1f47fa2fb58cb794b38520fc40615b5","abstract_canon_sha256":"43a6a037bc266842a8e7a96dab0ac7a40fe5f24bcee80f239503ea4b219c6330"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:33.536070Z","signature_b64":"LAFBb7QeQeHcjmKyZsnzpqhpwnJf4gzQPYx9f52IiejJGoaaRFXwmICCYZaaVDuTNVmbR3z+0kdoIzGnN0jKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8efd6e3f0a20e160d6fdbdef39c053232ffda928f19ee33841800fd1ab949f50","last_reissued_at":"2026-05-18T02:25:33.535679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:33.535679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On low-dimensional manifolds with isometric $\\widetilde{\\mathrm{U}}(p,q)$-actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DG","authors_text":"Gestur \\'Olafsson, Raul Quiroga-Barranco","submitted_at":"2015-03-04T22:02:16Z","abstract_excerpt":"Denote by $\\widetilde{\\mathrm{U}}(p,q)$ the universal covering group of $\\mathrm{U}(p,q)$, the linear group of isometries of the pseudo-Hermitian space $\\mathbb{C}^{p,q}$ of signature $p,q$. Let $M$ be a connected analytic complete pseudo-Riemannian manifold that admits an isometric $\\widetilde{\\mathrm{U}}(p,q)$-action and that satisfies $\\dim M \\leq n(n+2)$ where $n = p+q$. We prove that if the action of $\\widetilde{\\mathrm{SU}}(p,q)$ (the connected derived group of $\\widetilde{\\mathrm{U}}(p,q)$) has a dense orbit and the center of $\\widetilde{\\mathrm{U}}(p,q)$ acts non-trivially, then $M$ is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01483","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1503.01483","created_at":"2026-05-18T02:25:33.535735+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.01483v1","created_at":"2026-05-18T02:25:33.535735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01483","created_at":"2026-05-18T02:25:33.535735+00:00"},{"alias_kind":"pith_short_12","alias_value":"R36W4PYKEDQW","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"R36W4PYKEDQWBVX5","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"R36W4PYK","created_at":"2026-05-18T12:29:39.896362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM","json":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM.json","graph_json":"https://pith.science/api/pith-number/R36W4PYKEDQWBVX5XXXTTQCTEM/graph.json","events_json":"https://pith.science/api/pith-number/R36W4PYKEDQWBVX5XXXTTQCTEM/events.json","paper":"https://pith.science/paper/R36W4PYK"},"agent_actions":{"view_html":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM","download_json":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM.json","view_paper":"https://pith.science/paper/R36W4PYK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.01483&json=true","fetch_graph":"https://pith.science/api/pith-number/R36W4PYKEDQWBVX5XXXTTQCTEM/graph.json","fetch_events":"https://pith.science/api/pith-number/R36W4PYKEDQWBVX5XXXTTQCTEM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM/action/storage_attestation","attest_author":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM/action/author_attestation","sign_citation":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM/action/citation_signature","submit_replication":"https://pith.science/pith/R36W4PYKEDQWBVX5XXXTTQCTEM/action/replication_record"}},"created_at":"2026-05-18T02:25:33.535735+00:00","updated_at":"2026-05-18T02:25:33.535735+00:00"}