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

Authors : Cihan ÖZGÜR

Pages : 501-509

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Publication Date : 0000-00-00

Article Type : Research Paper

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