Peer-Reviewed journal indexed by Mathematical Reviews and Zentralblatt MATH.

Projectively Flat Finsler Metric with Special Curvature Properties


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


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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