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

Ramesha M; S. K. Narasimhamurthy

Ramesha M Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shivamogga, Karnataka, India
S. K. Narasimhamurthy Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shivamogga, Karnataka, India

Keywords: Finsler space; (𝛼, 𝛽)-metrics; Conformal change; Douglas space; Berwald space

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.

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