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Geometric Properties of Weakly Berwald Space with Some (α, β)-metric


S. K. Narasimhamurthy, Latha kumari G. N. and C. S. Bagewadi


The (α, β)-metric is a Finsler metric which is contstructed from a Riemannian metric α and a differential 1-form β. In this paper Finsler space with some
(α, β)-metrics like L = (α + β)^2/ α and L^2 = 2 α β becomes weakly Berwald
spaces under some geometric and algebraic conditions.

Keywords and Phrases : Berwald space, Finsler space, Weakly Berwald
space, (α, β)-metric.
AMS Subject Classification : : 53B40, 53C60

Received date : 3 September, 2010

Accepted date: February 12, 2011

cited by: J.T.S. Vol. 5 (2011), pp.1-13

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