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Projectively Flat Finsler Metric with Special Curvature Properties

Authors

S. K. Narasimhamurthy, H. Anjan Kumar and Ajith Rao

Abstract

The (α, β) metric is a Finsler metric which is constructed from Riemannian
metric α and differential 1-form β. In this paper, we find the mean Cartan
torsion I and mean Landsberg curvature J for Kropina metric L =α^2/β and also
find the neccessary and sufficient condition for J + cLI = 0.

Keywords and Phrases : Finsler space, Projective change, Kropina metric, Projective flatness, Mean Cartan torsion , Landsberg curvature.
AMS Subject Classification : : 53B40, 53C60.

Received date : 25 March, 2011

Accepted date: January 29, 2012

cited by: J.T.S. Vol. 6 No.1 (2012), pp.117-126

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