The Journal of the Indian Mathematical Society

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On Finsler Space with a Special (α, β)-Metric


Affiliations
1 DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, India
     

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In the present paper a special (α, β)-metric, which is considered as a generalization of the Rander's metric as well as of the Z. Shen's square metric, has been studied and the conditions for a Finsler space with this special metric to be a Berwald space, a Douglas space and Weakly-Berwald space respectively, have also been found.

Keywords

Finsler Space, (α, β)-Metric, Berwald Spaces, Douglas Spaces, Weakly Berwald Spaces.
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  • On Finsler Space with a Special (α, β)-Metric

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Authors

Bankteshwar Tiwari
DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, India
Manoj Kumar
DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, India

Abstract


In the present paper a special (α, β)-metric, which is considered as a generalization of the Rander's metric as well as of the Z. Shen's square metric, has been studied and the conditions for a Finsler space with this special metric to be a Berwald space, a Douglas space and Weakly-Berwald space respectively, have also been found.

Keywords


Finsler Space, (α, β)-Metric, Berwald Spaces, Douglas Spaces, Weakly Berwald Spaces.