Conformal Correspondence of Finsler Spaces with Special(α,β)-Metric
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Abstract
The purpose of the present paper is to discuss the conformal transformation of a Finsler space with a special (α,β) metric given by L2 = c1α2+2c2αβ+c3β2, where c1, c2, c3 are constants,αis Riemannian metric andβis one form. We have proved that for such a Finsler metric, the Berwald spaces, the locally Minkowski spaces and the projectively flat spaces are not invariant under nonhomothetic conformal transformation.
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Shukla, H., & Tiwari, A. (2012). Conformal Correspondence of Finsler Spaces with Special(α,β)-Metric. Journal of the Tensor Society, 6(01), 35-41. https://doi.org/10.56424/jts.v6i01.10462
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