Inequality for Ricci Curvature of Slant Submanifolds in Cosymplectic Space Forms

Authors: DAE WON YOON

Abstract: In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifold in a cosymplectic space form of constant \varphi-sectional curvature with arbitrary codimension.

Keywords: Mean curvature, sectional curvature, k-Ricci curvature, slant submanifold, semi-slant submanifold, bi-slant submanifold, cosymplectic space form

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