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

Authors

CİHAN ÖZGÜR

DOI

10.3906/mat-1001-73

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.

Keywords

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

First Page

501

Last Page

509

Recommended Citation

ÖZGÜR, CİHAN (2011) "B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature," Turkish Journal of Mathematics: Vol. 35: No. 3, Article 14. https://doi.org/10.3906/mat-1001-73
Available at: https://journals.tubitak.gov.tr/math/vol35/iss3/14