ON HOMOGENEOUS EINSTEIN KROPINA SPACE

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 10

Abstract

In this paper, we study homogeneous Einstein Kropina metric. First, we characterize the sufficient and necessary condition for a homogeneous Kropina metric to be Einstein and with vanishing S-curvature.Further, we study the conformal deformation of the metric F(α, β) = K(α, β) + ε(x)β, where K(α, β) = α2β and ε(x) depends on the position only. Finally, we prove that the conformal deformation of Kropina metric is single colored.

Keywords and Phrases

Homogeneous Finsler space, Einstein space, Ricci curvature, S-curvature, Berwald space, Single colored.

A.M.S. subject classification

53B40, 53C20, 53C60.

.....

Download PDF 10 Click here to Subscribe now