Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 3
B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature
- Pages
- 501–509
- DOI
- —
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.
Özet
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.