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