Mathematica Eterna
Open Access

Abstract

Ricci Curvature Of Einstein Kropina Metric

Chethana B.C., Narasimha murthy S.K. and Latha Kumari G.N

The purpose of this paper is to establish curvature properties of projectively related two Einstein Kropina metrics L = α 2/β and L¯ = α¯ 2/β¯. Further we proved that α and ¯α are Einstein and also showed that the Einstein Kropina metric with Killing 1-form have non-positive Ricci-curvature.