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September 30, 2015Bulletin of the Korean Mathematical Society34 citations

Optimal Inequalities for the Casorati Curvatures of Submanifolds of Generalized Space Forms Endowed With Semi-Symmetric Metric Connections

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CLChul Woo LeeJLJae Won LeeGVGabriel‐Eduard Vîlcu

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Abstract

In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a semi-symmetric metric connection. Moreover, we also characterize those submanifolds for which the equality cases hold.

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Lee et al. (2015) studied this question.

synapsesocial.com/papers/6a1a92fd5448f1e38b45d201https://doi.org/10.4134/bkms.2015.52.5.1631
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