University of Jeddah, Al-Kamil Faculty of Science and Arts, Department of mathematics, P.O. Box 110, Alkamil, 21931, Al-Kamil, Saudi Arabia
Mathematics Subject Classification (2010): 53C55(primary); 58C25(secondary)
A new type of Riemannian manifold has been defined called pseudorecurrent manifold, and some of its geometric properties are derived. Also a non trivial example is obtained to prove the existence.
Riemannian manifold, recurrent manifold, Codazzi type Ricci tensor, cyclic Ricci tensor, Ricci symmetric manifold