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http://dx.doi.org/10.5831/HMJ.2010.32.3.363

SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC METRIC CONNECTION  

Ahmad, Mobin (Department of Mathematics, Integral University)
Jun, Jae-Bok (Department of Mathematics, College of Natural Science, Kook-Min University)
Publication Information
Honam Mathematical Journal / v.32, no.3, 2010 , pp. 363-374 More about this Journal
Abstract
We define a semi-symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider submanifolds of an almost r-paracontact Riemannian manifold endowed with a semi-symmetric metric connection and obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost r-paracontact Riemannian manifold endowed with a semi-symmetric metric connection.
Keywords
Hypersurfaces; Submanifolds; almost r-paracontact Riemannian manifold; semi-symmetric metric connection; Gauss; Weingarten and Codazzi equations;
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