On a Hypersurface of a Conformal β-Change

S. K. Tiwari, Brijesh Kumar Maurya, C. P. Maurya

Abstract: We have considered the conformal β - change of the Finsler metric is given by L?= e^σ f(L, β), where σ is a function of x, β(x,y) = b_i(x)yⁱ is a 1-form on the underlying Manifold Mⁿ and f(L, β) is a homogeneous function of degree one in L and β. In this paper, we have studied some properties of the hypersurface of a Conformal β - change.

Keywords: Conformal β - change, Hypersurface, Unit normal vector, Finsler space