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OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONSopen access
- Issue Date
- 2015
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Casorati curvature; real space form; semi-symmetric metric connection
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.52, no.5, pp 1631 - 1647
- Pages
- 17
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 52
- Number
- 5
- Start Page
- 1631
- End Page
- 1647
- ISSN
- 1015-8634
2234-3016
- 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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