Optimal inequalities for the Casorati curvatures of submanifolds of generalized space forms endowed with semi-symmetric metric connections
Bull. Korean Math. Soc. 2015 Vol. 52, No. 5, 1631-1647
https://doi.org/10.4134/BKMS.2015.52.5.1631
Printed September 1, 2015
Chul Woo Lee, Jae Won Lee, Gabriel-Eduard Vilcu, and Dae Won Yoon
Kyungpook National University, Busan National University of Education, Research Center in Geometry, Topology and Algebra, Gyeongsang National University
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.
Keywords : Casorati curvature, real space form, semi-symmetric metric connection
MSC numbers : 53C40, 49K35
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