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Finslerian Hypersurfaces of a Finsler Spaces with (γ, β)-metric
Brijesh Kumar Tripathibrijeshkumartripathi4@gmail.comDepartment of MathematicsCentral Institute of Plastics Engineering And Technology- . s:Nadarganj, Lucknow, (U.P.), 226008, IndiaView full profile →
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- Received:
- 28 Feb 2014
- Accepted:
- 17 Apr 2014
- Published Online:
- 08 Jul 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.917829
- Pages:
- 19–27
Abstract
In the present paper we have study the Finslerian hypersurfaces of a Finsler spaces with (γ, β)-metric. The relations between the Finslerian hypersurface given by the Finsler space with cubic metric and the other Finslerian hypersurfaces which is given by Finsler space with (γ, β)-metric. We have also proved that a (γ, β)-metric make three types of hypersurfaces invariant under certain condition. These three types of a hypersurfaces are hyperplanes of first, second and third kind.
Keywords
Subject Classifications
: 53B4053C60
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