{"paper":{"title":"On the regular space-like hypersurfaces in the de Sitter space ${\\mathbb S}^{m+1}_{1}$ with parallel Blaschke tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Hongru Song, Xingxiao Li","submitted_at":"2015-11-10T03:08:19Z","abstract_excerpt":"In this paper, we use two conformal non-homogeneous coordinate systems, modeled on the de Sitter space ${\\mathbb S}^{m+1}_1$, to cover the conformal space ${\\mathbb Q}^{m+1}_1$, so that the conformal geometry of regular space-like hypersurfaces in $\\mathbb{Q}^{m+1}_1$ is treated as that of hypersurfaces in ${\\mathbb S}^{m+1}_1$. As a result, we give a complete classification of the regular space-like hypersurfaces (represented in the de Sitter space ${\\mathbb S}^{m+1}_1$) with parallel Blaschke tensors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02979","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"}