Inequalities for algebraic Casorati curvatures and their applications


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 δ-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.

DOI Code: 10.1285/i15900932v37suppl1p161

Keywords: Casorati curvature; algebraic Casorati curvature; Casorati inequalities; real space form

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