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.

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

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