pith. sign in

arxiv: math-ph/0207006 · v1 · submitted 2002-07-02 · 🧮 math-ph · math.MP

Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds

classification 🧮 math-ph math.MP
keywords curvatureinequalitiesriccisubmanifoldsalmostconformalcosymplecticinvariant
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.