{"paper":{"title":"Totally umbilical radical transversal lightlike hypersurfaces of K\\\"ahler-Norden manifolds of constant totally real sectional curvatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Galia Nakova","submitted_at":"2014-07-25T14:56:44Z","abstract_excerpt":"In this paper we study curvature properties of semi-symmetric type of totally umbilical radical transversal lightlike hypersurfaces $(M,g)$ and $(M,\\widetilde g)$ of a K\\\"ahler-Norden manifold $(\\overline M,\\overline J,\\overline g,\\overline {\\widetilde g})$ of constant totally real sectional curvatures $\\overline \\nu$ and $\\overline {\\widetilde \\nu}$ ($g$ and $\\widetilde g$ are the induced metrics on $M$ by the Norden metrics $\\overline g$ and $\\overline {\\widetilde g}$,respectively). We obtain a condition for $\\overline {\\widetilde \\nu}$ (resp. $\\overline \\nu$) which is equivalent to each of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6924","kind":"arxiv","version":2},"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"}