On some properties of submanifolds of a Riemannian manifold endowed with a semi-symmetric non-metric connection
نویسنده
چکیده
We study submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection is also a semi-symmetric non-metric connection. We consider the total geodesicness, total umbilicity and the minimality of a submanifold of a Riemannian manifold with the semi-symmetric non-metric connection. We have obtained the Gauss, Codazzi and Ricci equations with respect to the semi-symmetric non-metric connection. The relation between the sectional curvatures of the Levi-Civita connection and the semi-symmetric non-metric connection is also given.
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