Conformal Change of Finsler Special (α, β)-Metric is of Douglas Type

Ramesha M, S. K. Narasimhamurthy

Abstract


In this present article, we are devoted to study the necessary and sufficient conditions for a Finsler space with a special (α, β)-metric i.e., F = c1α + c2β + β 2 α ; c2 = 0; to be a Douglas space and also to be Berwald space, where α is Riemannian metric and β is differential 1-form. In the second part of this article we are discussing about conformal change of Douglas space with special (α, β)-metric.

Keywords


Finsler space, (α, β)-metrics, Conformal change, Douglas space, Berwald space.

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References


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