- Turkish Journal of Mathematics
- Vol: 35 Issue: 3
- B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature
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 : 9999-12-31
Article Type : Makaleler
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