{"paper":{"title":"Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Beniamino Cappelletti Montano","submitted_at":"2007-06-06T18:36:54Z","abstract_excerpt":"We find necessary and sufficient conditions for the bi-Legendrian connection $\\nabla$ associated to a bi-Legendrian structure $(\\cal F,\\cal G)$ on a contact metric manifold $(M,\\phi,\\xi,\\eta,g)$ being a metric connection and then we give conditions ensuring that $\\nabla$ coincides with the (generalized) Tanaka-Webster connection of $(M,\\phi,\\xi,\\eta,g)$. Using these results, we give some interpretations of the Tanaka-Webster connection and we study the interactions between the Tanaka-Webster, the bi-Legendrian and the Levi Civita connection in a Sasakian manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0888","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"}