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Korean Mathematical Society
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ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2019; 34(2): 603-614
Online first article September 18, 2018 Printed April 30, 2019
https://doi.org/10.4134/CKMS.c180102
Copyright © The Korean Mathematical Society.
Optimizations on totally real submanifolds of LCS-manifolds using Casorati curvatures
Mohammad Hasan Shahid, Aliya Naaz Siddiqui
Jamia Millia Islamia; Jamia Millia Islamia
In the present paper, we derive two optimal inequalities for totally real submanifolds and $C$-totally real submanifolds of LCS-man\-ifolds with respect to Levi-Civita connection and quarter symmetric metric connection by using T. Oprea's optimization method.
Keywords: LCS-manifolds, quarter symmetric metric connection, Casorati curvatures, totally real submanifolds
MSC numbers: 53C15, 53C25
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