Bull. Korean Math. Soc. 2015; 52(5): 1631-1647
Printed September 1, 2015
https://doi.org/10.4134/BKMS.2015.52.5.1631
Copyright © The Korean Mathematical Society.
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
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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