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Projectively Flat Finsler Space With Special (α, β)−Metric


S. K. Narasimhamurthy, B. C. Chethana and Latha kumari G. N.


In this paper, we consider special (α, β)−metric L = α + 2 β^2/α −(1/3) β^4/α^3 + ϵβ  (ϵ ̸= 0) constant, and discuss the condition for a Finsler space with special (α, β)−metric to be projectively flat on the basis of Matsumoto’s results where
α is a Riemannian metric, β is a differential 1-form.

Keywords and Phrases : Finsler Space, (α, β)−metrics, Projectively flat, Matsumoto metric, Riemannian metric
AMS Subject Classification : : 53C60, 53B40.

Received date : November 11, 2013

Accepted date: June 12, 2014

cited by: J.T.S. Vol. 8 (2014), pp.131-137

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