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http://dx.doi.org/10.4134/BKMS.2015.52.5.1631

OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONS  

LEE, CHUL WOO (DEPARTMENT OF MATHEMATICS KYUNGPOOK NATIONAL UNIVERSITY)
LEE, JAE WON (DEPARTMENT OF MATHEMATICS EDUCATION BUSAN NATIONAL UNIVERSITY OF EDUCATION)
VILCU, GABRIEL-EDUARD (PETROLEUM-GAS UNIVERSITY OF PLOIESTI, DEPARTMENT OF MATHEMATICAL MODELLING, ECONOMIC ANALYSIS AND STATISTICS, UNIVERSITY OF BUCHAREST FACULTY OF MATHEMATICS AND COMPUTER SCIENCE RESEARCH CENTER IN GEOMETRY, TOPOLOGY AND ALGEBRA)
YOON, DAE WON (DEPARTMENT OF MATHEMATICS EDUCATION AND RINS GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 1631-1647 More about this Journal
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;
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