International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 2

Pseudo recrrent manifolds

  • Author:
  • Musa A.A. Jawarneh
  • Total Page Count: 5
  • Page Number: 56 to 60

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)

Abstract

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.

Keywords

Riemannian manifold, recurrent manifold, Codazzi type Ricci tensor, cyclic Ricci tensor, Ricci symmetric manifold