In the present paper, using the field of linear frame [13], we shall considered Finslerian hypersurfaces given by generalized change of Finsler metric. The generalized change of Finsler metric is given by L = f (L, 1), 2),…, m) ), where f is any positively homogeneous function of degree one in L and 1), 2),…, m). Our purpose is to give some relations between the original Finslerian hypersurface and the other which is Finslerian given by generalized change. We have shown that generalized change makes three types of hypersurfaces invariant under certain conditions. Also, we have obtained the conditions under which this change will be a hyperplane of first, second and third kind.
關聯:
Journal of Applied Science and Engineering 19(2), pp.113-116
