B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature

Authors

CİHAN ÖZGÜR

Abstract

In this paper, we prove B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature, i.e., relations between the mean curvature, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space. The equality cases are considered.

DOI

10.3906/mat-1001-73

Keywords

Riemannian manifold of quasi-constant curvature, B. Y. Chen inequality, Ricci curvature

First Page

501

Last Page

509

Recommended Citation

ÖZGÜR, C (2011). B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature. Turkish Journal of Mathematics 35 (3): 501-509. https://doi.org/10.3906/mat-1001-73