On Hypersurface of a Finsler space with the Generalized Matsumoto metric

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Published Jun 30, 2007

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Surekha Desai
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shivamogga, Karnataka, INDIA.
Narasimhamurthy S K
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shivamogga, Karnataka, INDIA.
Raghavendra R S
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shivamogga, Karnataka, INDIA.

Abstract

In this paper, we study some geometrical properties of a Finsler space with the generalized Matsumoto metric L = αm+1 (α − β)m . Further, we prove the necessary and sufficient condition for Finsler Hypersurface satisfies the condition of hyperplanes of first, second kinds and but not the hyperplane of the third kind with respect to the above metric.

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How to Cite
Desai, S., K, N., & S, R. (2007). On Hypersurface of a Finsler space with the Generalized Matsumoto metric. Journal of the Tensor Society, 16(01), 56-70. Retrieved from https://tensorsociety.com/journal/index.php/JTS/article/view/192
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Vol 16 No 01 (2022): Journal of The Tensor Society
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Reveiw Article
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