{ "id": "math-ph/0207006", "version": "v1", "published": "2002-07-02T05:08:17.000Z", "updated": "2002-07-02T05:08:17.000Z", "title": "Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds", "authors": [ "Mukut Mani Tripathi", "Jeong-Sik Kim", "Jaedong Choi" ], "comment": "Latex 14 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "We obtain certain inequalities involving several intrinsic invariants namely scalar curvature, Ricci curvature and $k$-Ricci curvature, and main extrinsic invariant namely squared mean curvature for submanifolds in a locally conformal almost cosymplectic manifold with pointwise constant $% \\phi $-sectional curvature. Applying these inequalities we obtain several inequalities for slant, invariant, anti-invariant and {\\em CR}-submanifolds. The equality cases are also discussed.", "revisions": [ { "version": "v1", "updated": "2002-07-02T05:08:17.000Z" } ], "analyses": { "subjects": [ "53C40", "53C15", "53C25" ], "keywords": [ "ricci curvature", "cosymplectic manifold", "locally conformal", "submanifolds", "main extrinsic invariant" ], "note": { "typesetting": "LaTeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.ph...7006M" } } }