Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds
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Date
2019-02-01
Authors
Gülbahar, Mehmet
Tripathi, Mukut Mani
Kılıç, Erol
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
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.
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Keywords
Curvature, Riemannian submanifolds, Almost constant curvature manifold