ON EINSTEIN (α, β) - METRIC H. S. Shukla and Manmohan Pandey 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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