SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 4
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2009.12653 - 665 (13 pages)
- 0
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.
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
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