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2009 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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Tbilisi Math. J. 2: 51-60 (2009). DOI: 10.32513/tbilisi/1528768841

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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Pradeep Kumar. S. K. Narasimhamurthy. H. G. Nagaraja. S. T. Aveesh. "On a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric." Tbilisi Math. J. 2 51 - 60, 2009. https://doi.org/10.32513/tbilisi/1528768841

Information

Received: 20 April 2009; Revised: 30 September 2009; Accepted: 26 October 2009; Published: 2009
First available in Project Euclid: 12 June 2018

zbMATH: 1196.53019
MathSciNet: MR2574872
Digital Object Identifier: 10.32513/tbilisi/1528768841

Subjects:
Primary: 53B40
Secondary: 53C60

Rights: Copyright © 2009 Tbilisi Centre for Mathematical Sciences

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