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

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.

Anahtar Kelimeler:

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

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

Keywords:

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

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