{"paper":{"title":"Certain Results On $N(\\Kappa)$-contact Metric Manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Absos Ali Shaikh, Sunil Kumar Yadav","submitted_at":"2019-06-11T11:09:47Z","abstract_excerpt":"In this paper, $N(\\kappa)$-contact metric manifolds satisfying the conditions $\\widetilde{C}(\\xi,X)\\cdot\\widetilde{C}=0$, $\\widetilde{C}(\\xi,X)\\cdot R=0$, $\\widetilde{C}(\\xi,X)\\cdot S=0$, $\\widetilde{C}(\\xi,X)\\cdot C=0$, $C\\cdot S=0$ and $R\\cdot C=f_{C}Q(g,C)$ have been investigated and obtained their classification. Among others it is shown that a Weyl-pseudosymmetric $N(\\kappa)$-contact metric manifold is either locally isometric to the Riemannian product $E^{n+1}(0)\\times S^{n}(4)$ or an $\\eta$-Einstein manifold. Finally, an example is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.05183","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"}