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OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONS
- Lee, Chul Woo;
- Lee, Jae Won;
- Vilcu, Gabriel-Eduard;
- Yoon, Dae Won
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44초록
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.
키워드
Casorati curvature; real space form; semi-symmetric metric connection; RIEMANNIAN MANIFOLD; LAGRANGIAN SUBMANIFOLDS; SLANT SUBMANIFOLDS; CHEN INEQUALITIES; GEOMETRY
- 제목
- OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONS
- 저자
- Lee, Chul Woo; Lee, Jae Won; Vilcu, Gabriel-Eduard; Yoon, Dae Won
- 발행일
- 2015
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 52
- 호
- 5
- 페이지
- 1631 ~ 1647
- 언어
- ENG
- 출판사
- KOREAN MATHEMATICAL SOC
- 발행국가
- 대한민국
- 분량
- 17 페이지
- ISSN
- E 2234-3016
P 1015-8634