{"paper":{"title":"({\\kappa},{\\mu},\\u{psion}=const.)-Contact Metric Manifolds With {\\xi}(I_{M})=0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Cengizhan Murathan, \\.Irem K\\\"upeli Erken","submitted_at":"2012-06-12T21:47:51Z","abstract_excerpt":"We give a local classification of ({\\kappa},{\\mu},\\u{psion}=const.)-contact metric manifold (M,{\\phi},{\\xi},{\\eta},g) with {\\kappa}<1 which satisfies the condition\" the Boeckx invariant function I_{M}=((1-({\\mu}/2))/(\\surd(1-{\\kappa}))) is constant along the integral curves of the characteristic vector field {\\xi}\"."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2678","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"}