Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds

2002/07/02 by Mukut Mani Tripathi, Tripathi, Mukut Mani, Jeong-Sik Kim +3
Mathematics · Physics and Astronomy · #53C25) #53C40 (53C15 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:53C40

paper · pdf · doi:10.48550/arxiv.math-ph/0207006

Latex 14 pages

arxiv created 2002/07/02 · arxiv updated 2009/11/30

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 % ϕ-sectional curvature. Applying these inequalities we obtain several inequalities for slant, invariant, anti-invariant and \em CR-submanifolds. The equality cases are also discussed.

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