SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A QUARTER-SYMMETRIC NON-METRIC CONNECTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 1
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2011.0291 - 104 (14 pages)
- 2
We de ne a quarter-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider the submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter-symmetric non-metric connection. We also obtain the Gauss, Codazzi and Weingarten equations and the cur- vature tensor for the submanifolds of an almost r-paracontact Rie- mannian manifold endowed with a quarter-symmetric non-metric connection.
1. Introduction
2. Preliminaries
3. Totally geodesic and totally umbilical hypersurfaces
4. Gauss, Weingarten and Codazzi equations
5. Submanifolds of co-dimensions 2
6. Totally geodesic and totally umbilical submanifolds
7. Curvature tensor and Weingarten equations
8. Riemannian curvature tensor for quarter-symmetric non- metric connection.
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