Some vector fields on a Riemannian manifold with semi-symmetric metric connection

Abstract

In the first part of our work, some results are given for a Riemannian manifold with semi-symmetric metric connection. In the second part, some special vector fields, such as torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above. © 2011 Iranian Mathematical Society.