On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection

Jing Li, Guoqing He, Peibiao Zhao
2017 Symmetry  
In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the semi-symmetric non-metric connection. We obtain the Gauss, Cadazzi, and Ricci equations for submanifolds with respect to the semi-symmetric non-metric connection.
doi:10.3390/sym9070112 fatcat:6veylbqgvnbblnzpgdcmhsiriu