The Douglas space of second kind, (α, β)-metric.
Resumo
Douglas Space with (α, β)-metric
Sheelavathi R , Vasantha D M
REVA University, Yelahanka, Bengaluru - 560064, India
e-mail: sheeladileep66@gmail.com, dmvasantha@gmail.com
Abstract: The Douglas spaces are considered as generalization of Berwald spaces. In this paper, we determine the conditions for a Finsler space with the special (α, β)-metric to be a Douglas space of second kind, where α is a Riemannian metric and β is a differential 1-form.
Key words: Finsler space, Berwald space, Douglas space of second kind, (α, β)-metric.
AMS Subject Classification (2010): 53B40, 53C60.
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