Journals / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 1

Inequality for Ricci Curvature of Slant Submanifolds in Cosymplectic Space Forms

Pages
43–56
DOI
—

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 j-sectional curvature with arbitrary codimension.

Özet

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 j-sectional curvature with arbitrary codimension.

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