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Douglas space of Second Kind of Finsler space with (α, β)−Metric


Latha kumari G. N. and S. K. Narasimhamurthy


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 we discussed the
conditions under which the Finsler space with (α, β)−metric L = β
2/(β − α) become a Douglas space of Second Kind.

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

Received date : : November 11, 2013

Accepted date: June 30, 2014

cited by: J.T.S. Vol. 8 (2014), pp. 93-102

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