{"paper":{"title":"On $(N(k),\\xi)$-semi-Riemannian manifolds: Pseudosymmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mukut Mani Tripathi, Punam Gupta","submitted_at":"2012-02-29T06:35:29Z","abstract_excerpt":"Definition of $({\\cal T}_{a},{\\cal T}_{b})$-pseudosymmetric semi-Riemannian manifold is given. $({\\cal T}_{a},{\\cal T}_{b})$-pseudosy mmetric $(N(k),\\xi)$-semi-Riemannian manifolds are classified. Some results for ${\\cal T}_{a}$-pseudosymmetric $(N(k),\\xi)$-semi-Riemannian manifolds are obtained. $({\\cal T}_{a},{\\cal T}_{b},S^{\\ell})$-pseudosymmetric semi-Riemannian manifolds are defined. $({\\cal T}_{a},{\\cal T}_{b},S^{\\ell})$-pseudosymmetric $(N(k),\\xi)$-semi-Riemannian manifolds are classified. Some results for $(R,{\\cal T}_{a},S^{\\ell})$-pseudosymmetric $(N(k),\\xi)$-semi-Riemannian manifold"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6458","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"}