- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:68 Issue:1
- Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds
Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds
Authors : Mehmet GÜLBAHAR, Mukut Mani TRIPATHI, Erol KILIÇ
Pages : 466-483
Doi:10.31801/cfsuasmas.430856
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Publication Date : 2019-02-01
Article Type : Research Paper
Abstract :An optimal inequality involving the scalar curvatures, the mean curvature and the k-Chen invariant is established for Riemannian submanifolds. Particular cases of this inequality is reported. Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.Keywords : Curvature, Riemannian submanifolds, almost constant curvature manifold