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arXiv · 1405.5192

Inequalities for generalized normalized $δ$-Casorati curvatures of slant submanifolds in quaternionic space forms

Jaewon Lee·Gabriel-Eduard Vîlcu
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Abstract

In this paper we prove two sharp inequalities involving the normalized scalar curvature and the generalized normalized $δ$-Casorati curvatures for slant submanifolds in quaternionic space forms. We also characterize those submanifolds for which the equality cases hold. These results are a generalization of some recent results concerning the Casorati curvature for a slant submanifold in a quaternionic space form obtained by Slesar et al.: J. Inequal. Appl. 2014, 2014:123.

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Jaewon Lee, Gabriel-Eduard Vîlcu. 2014-05-20. Inequalities for generalized normalized $δ$-Casorati curvatures of slant submanifolds in quaternionic space forms. https://doi.org/10.11650/tjm.19.2015.4832

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