학술논문
SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- Mobin Ahmad Jae Bok Jun
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 653~665쪽, 전체 13쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2009.12.30
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국문 초록
영문 초록
We de¯ne a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider sub-manifolds of an almost r-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection and obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost r-paracontact Riemannian manifold en- dowed with a semi-symmetric non-metric connection.
목차
1. Introduction
2. Preliminaries
3. Totally geodesic and totally umbilical hypersurfaces
4. Gauss, Weingarten and Codazzi equations
5. Submanifolds of codimension 2
6. Totally geodesic and totally umbilical submanifolds
7. Curvature tensor and Weingarten equations
8. Riemannian curvature tensor for semi-symmetric non-metric connection
References
키워드
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