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2009•Tbilisi Mathematical JournalOpen access

On a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric

Pradeep Kumar, S. K. Narasimhamurthy, H. G. Nagaraja, S T Aveesh

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Abstract

The purpose of the present paper is to consider a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric $\alpha+\sqrt{\alpha^2+\beta^2}$. We prove conditions for the special Finsler hypersurface to be a hyperplane of first, second and third kind.

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What this paper is about

The purpose of the present paper is to consider a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric $\alpha+\sqrt{\alpha^2+\beta^2}$. We prove conditions for the special Finsler hypersurface to be a hyperplane of first, second and third kind.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The purpose of the present paper is to consider a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric $\alpha+\sqrt{\alpha^2+\beta^2}$. We prove conditions for the special Finsler hypersurface to be a hyperplane of first, second and third kind.

Key concepts: Hypersurface, Mathematics, BETA (programming language), Hyperplane, Alpha (finance), Metric (unit), Finsler manifold, Pure mathematics

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