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Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds

Mukut Mani Tripathi·Jeong-Sik Kim·Jaedong Choi
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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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Mukut Mani Tripathi, Jeong-Sik Kim, Jaedong Choi. 2002-07-02. Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds. https://arxiv.org/abs/math-ph/0207006

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