On decomposability of projective curvature tensor in projective recurrent conformal Finsler space

Subject Areas : Mathematical Analysis

Chayank Kumar Mishra ¹ , Gautam Lodhi ²

1 - Department of Mathematics And Stats., Dr. R.M.L. Avadh University, Faizabad-224001(U.P.)India.
2 - Department of Mathematics and Statistic, Dr. R.M.L. Avadh University, Faizabad-224001(U.P.)India.

Received: 2022-03-18 Accepted : 2022-03-19 Published : 2020-12-01

Keywords: Projective recurrent conformal Finsler space, Projective curvature tensor, Finsler space, Conformal Finsler Space,

Abstract :

M. S. Knebelman [1] has developed conformal geometry of generalised metricspaces. The decomposability of curvature tensor in a Finsler manifold was studiedby P. N. Pandey [4]. The purpose of the present paper is to decompose the Projectivecurvature tensor and study the identities satisfied by projective curvature tensor inconformal Finsler space.