## Tbilisi Mathematical Journal

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

#### 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.

#### Article information

Source
Tbilisi Math. J., Volume 2 (2009), 51-60.

Dates
Revised: 30 September 2009
Accepted: 26 October 2009
First available in Project Euclid: 12 June 2018

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