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arXiv · 1612.01754

Inequalities for the Casorati curvatures of real hypersurfaces in some Grassmannians

Kwang-Soon Park
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Abstract

In this paper we obtain two types of optimal inequalities consisting of the normalized scalar curvature and the generalized normalized $\delta$-Casorati curvatures for real hypersurfaces of complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians. We also find the conditions on which the equalities hold.

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Kwang-Soon Park. 2016-12-06. Inequalities for the Casorati curvatures of real hypersurfaces in some Grassmannians. https://arxiv.org/abs/1612.01754

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