Jñānābha‎, Vol. 48 (1) (2018), 102-110

ON EINSTEIN (α, β) - METRIC

H. S. Shukla and Manmohan Pandey

Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, India

Abstract

The purpose of the present paper is to find the necessary and sufficient condition for the special (α, β)−metric L = (b₁α²+b₂αβ+b₃β²) / (a₁α+a₂β) to be an Einstein metric. Here α is a Riemannian metric and β is a constant Killing one-form.

Keywords and phrases. (α, β)−metric, constant Killing, spray curvature etc.

2010 Mathematics Subject Classification. 53B40, 53C60.

[Download full paper]