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.

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