{"paper":{"title":"On locally phi-semisymmetric Sasakian manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Absos Ali Shaikh, Chandan Kumar Mondal, Helaluddin Ahmad","submitted_at":"2013-02-08T20:43:41Z","abstract_excerpt":"Generalizing the notion of local $\\phi$-symmetry of Takahashi, in the present paper, we introduce the notion of local $\\phi$-semisymmetry of a Sasakian manifold along with its proper existence and characterization. We also study the notion of local Ricci (resp., projective, conformal) $\\phi$-semisymmetry of a Sasakian manifold and obtain its characterization. It is shown that the local $\\phi$-semisymmetry, local projective $\\phi$-semisymmetry and local concircular $\\phi$-semisymmetry are equivalent. It is also shown that local conformal $\\phi$-semisymmetry and local conharmonical $\\phi$-semisy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2139","kind":"arxiv","version":3},"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"}