IJPAM: Volume 88, No. 2 (2013)

ON A HYPERSURFACE OF
A HYPERBOLIC COSINE FINSLER METRIC

H. Wosoughi
Department of Mathematics
Islamic Azad University
Babol Branch, IRAN


Abstract. The purpose of the present paper is to investigate the various kinds of hypersurface of Finsler space with $\left(\alpha,\beta \right)$- metric of type $L=\alpha \cosh (\frac{\beta }{\alpha } )$. The conditions under which this hypersuface to be a hyperplane of first, second or third kinds have been obtained.

Received: July 13, 2013

AMS Subject Classification: 53B40, 53C60

Key Words and Phrases: Finsler space, hypersurface, induced Cartan connection, $\left(\alpha,\beta \right)$-metric, hyperplane of 1${}^{st}$, 2${}^{nd}$ and 3${}^{rd}$ kinds

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DOI: 10.12732/ijpam.v88i2.9 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: 2013
Volume: 88
Issue: 2