On Cyclic Ricci-recurrent Spaces

A A Shaikh; S K Hui; A Patra

doi:10.56424/jts.v13i01.10601

A A Shaikh Department of Mathematics,The University of Burdwan, Burdwan, 713104, West Bengal, India
S K Hui Department of Mathematics,The University of Burdwan, Burdwan, 713104, West Bengal, India
A Patra Department of Mathematics,The University of Burdwan, Burdwan, 713104, West Bengal, India

DOI: https://doi.org/10.56424/jts.v13i01.10601

Keywords: Ricci symmetric, Ricci-recurrent, cyclic Ricci parallel, cyclic Riccirecurrent, conformally symmetric, conformally flat space, scalar curvature, Codazzi tensor

Abstract

The object of the present paper is to study cyclic Ricci-recurrent spaces. Some basic geometric properties of such a space are obtained. Among others we study conformally symmetric cyclic Ricci-recurrent spaces. Also we study decomposibility and conformal deformation of cyclic Ricci-recurrent spaces. Finally, the existence of such space is ensured by an interesting example.