{"paper":{"title":"Classification of $(\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R}))$-Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Eli Roblero-M\\'endez, Gestur \\'Olafsson","submitted_at":"2016-03-17T20:37:47Z","abstract_excerpt":"Let $M$ be an analytic complete finite volume pseudo-Riemannian manifold and $\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R})$ a connected semisimple Lie group such that its Lie algebra is $\\mathfrak{sp}(n,\\mathbb{R})\\oplus\\mathfrak{sp}(1,\\mathbb{R})$. We characterize the structure of the manifold $M$ assuming that the Lie group $\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R})$ acts isometrically on $M$ and that its dimension satisfies $3+n(2n+1)<\\dim(M)\\leq(n+1)(2n+3)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05679","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"}