Semi symmetric metric connections have been studied by Imai. Mishra and Pandey  defined the notion of quarter symmetric connection in a differentiable manifold. A semi symmetric semi metric connection has been introduced by Barua and Mukhopadhyay. In the present paper submanifolds of a Riemannian manifold has been considered which admits quarter symmetric semi metric connection. Gauss and Weingarten formulae for such a connection have been derived. Gauss, Codazzi and Ricci equations for such connection have been deduced. Finally, we have studied hypersurfaces of Riemannian manifold admitting a quarter symmetric semi metric connection and established Gauss and Codazzi equations.
Quarter symmetric semi metric, Riemannian manifold
Praveen Mathur; Mohit Saxena, Sub Manifolds of a Riemannian Manifold Admitting a Quarter Symmetric Semi Metric Connection, HCTL Open International Journal of Technology Innovations and Research (IJTIR), Volume 16, July 2015, e-ISSN: 2321-1814, ISBN: 978-1-943730-43-8.