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http://dx.doi.org/10.14403/jcms.2011.24.1.10

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

Ahmad, Mobin (Department of Mathematics Integral University)
Jun, Jae-Bok (Department of Mathematics Kookmin University)
Haseeb, Abdul (Department of Mathematics Integral University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.1, 2011 , pp. 91-104 More about this Journal
Abstract
We define 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 curvature tensor for the submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter-symmetric non-metric connection.
Keywords
hypersurfaces; submanifolds; almost r-paracontact manifold; quarter-symmetric non-metric connection; Gauss; Weingarten and Codazzi equations;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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