On Weekly Berwald Finsler special (α, β) - metric

Thippeswamy K.R; Narasimhamurthy S. K

Thippeswamy K.R Department of Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India
Narasimhamurthy S. K Department of Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India

Keywords: Isotropic Berwald curvature, S-curvature, almost isotropic flag curvature.

Abstract

In this paper we study the special (α, β)-metric F = (α²/α-β)+ β on a manifold M. We prove that F is of scalar flag curvature and isotropic Scurvature if and only if it is isotropic Berwald metric with almost isotropic flag curvature.

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