IJPAM: Volume 105, No. 2 (2015)

ON THE HYPERSURFACE OF A FINSLER SPACE WITH
RANDERS CHANGE OF GENERALIZED $(\alpha,\beta)$ METRIC

Gauree Shanker$^1$, Vijeta Singh$^2$
$^{1,2}$Department of Mathematics and Statistics
Banasthali University
Banasthali, Rajasthan, 304022, INDIA


Abstract. The study of special Finsler spaces has been introduced by M. Matsumoto [6]. The purpose of the present paper is to study hypersurfaces of a Finsler space with $(\alpha,\beta)$-metric $L^*=\alpha+\epsilon\beta+\kappa\dfrac{\beta^2}{\alpha}+\beta$. We have obtained the conditions for this hypersurface to be hyperplane of 1st, 2nd kind but not of 3rd kind.

Received: September 9, 2015

AMS Subject Classification: 53B40, 53C60

Key Words and Phrases: finsler space, hypersurface, induced cartan connection, hyperplane of 1st, 2nd, 3rd kind

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DOI: 10.12732/ijpam.v105i2.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 2
Pages: 223 - 234


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