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

摘要

We define a quarter symmetric semi-metric connection in an almost r-paracontact Riemannian manifold and we consider submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric semi-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 quarter symmetric semi-metric connection.