On a special hypersurface of a Finsler space with (α, β)-metric

P. Kumar, S. K. Narasimhamurthy, H. G. Nagaraja, S. T. Aveesh

The purpose of the present paper is to consider a special hypersurface of a Finsler space with (α, β)-metric α+√(α2+β2). We prove conditions for the special Finsler hypersurface to be a hyperplane of first, second and third kind. 

Tbilisi Mathematical Journal, Vol. 2 (2009), pp. 51-60