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Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

INEQUALITIES INVOLVING k-CHEN INVARIANTS FOR SUBMANIFOLDS OF RIEMANNIAN PRODUCT MANIFOLDS

Erol KILIÇ, Mehmet GÜLBAHAR, Mukut Mani TRIPATHI

Sayfa
466–483
DOI
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Abstract

An optimal inequality involving the scalar curvatures, the meancurvature 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-antiinvariant submanifolds of an almost constant curvature manifold.