Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds

Tripathi, Mukut Mani; Kim, Jeong-Sik; Choi, Jaedong

Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds

Authors

Tripathi, Mukut Mani

Kim, Jeong-Sik

Choi, Jaedong

Description

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.
Latex 14 pages