Theoretical Mathematics & Applications

On Submanifolds of an Almost r-Paracontact Riemannian Manifold Endowed with a Quarter Symmetric Metric Connection

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• Abstract

  We define a quarter symmetric 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 metric connection. We also obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.