{"paper":{"title":"Nullity distributions on real hypersurfaces in non-flat complex space forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Konstantina Panagiotidou","submitted_at":"2016-01-14T07:28:59Z","abstract_excerpt":"In this paper the result of real hypersurfaces in non-flat complex space forms, whose structure vector field $\\xi$ belongs to the $\\kappa$-nullity distribution is extended in case of three dimensional real hypersurfaces in non-flat complex space forms. Furthermore, generalization of notion ($\\kappa$,$\\mu$)-nullity distribution defined on real hypersurfaces and results of real hypersurfaces, whose structure vector field $\\xi$ belongs to the previous distribution are provided. Finally, the notion of ($\\kappa$,$\\mu$,$\\nu$)-nullity distribution is introduced in case of real hypersurfaces in non-fl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03509","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"}