On some class of Riemann manifolds

Authors

  • A.A. Shaikh University of Burdwan, West Bengal, India
  • T.Q. Binh Debrecen University, Hungary

Keywords:

cyclic Ricci symmetric manifold, quasi-Einstein manifold, scalar curvature, Codazzi tensor

Abstract

In the present paper we investigate some geometric properties of two classes of Riemannian manifolds introduced by A. Gray (1978). The existence of such classes are also ensured by several non-trivial examples. We also study these classes of Riemannian manifolds with quasi-Einstein structure introduced by M. C. Chaki and R. K. Maity (2000) and obtained various interesting geometric properties.

Author Biographies

A.A. Shaikh, University of Burdwan, West Bengal, India

Department of Mathematics, Burdwan – 713104

T.Q. Binh, Debrecen University, Hungary

Mathematical Institute, H-4010 Debrecen, P. O. 12

Published

2008-11-30

Issue

Vol. 1(50) (2008)

Section

MATHEMATICS