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arXiv · 1607.05828

Inequalities for algebraic Casorati curvatures and their applications

Mukut Mani Tripathi
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Abstract

The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressing basic Casorati inequalities for algebraic Casorati curvatures are presented. Equality cases are also discussed. As a simple application, basic Casorati inequalities for different $\delta $-Casorati curvatures for Riemannian submanifolds are presented. Further applying these results, Casorati inequalities for Riemannian submanifolds of real space forms are obtained. Finally, some problems are presented for further studies.

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Mukut Mani Tripathi. 2016-07-20. Inequalities for algebraic Casorati curvatures and their applications. https://arxiv.org/abs/1607.05828

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