Finsler Hypersurface given by Generalized b-Conformal Change

Abstract

In 2009 N. L. Youssef, S. H. Abed and S. G. Elgendi1 introduced generalized b -conformal change. This transformation combines both b -change and conformal change in general setting. In 1985, M. Mastumoto studied the theory of Finslerian hypersurface2. In the present paper, we obtain the relations for Finsler hypersurface given by generalized b-conformal change to be hyperplane of 1st kind , hyperplane of 2nd kind and hyperplane of 3rd kind. Further these Finsler spaces are Landsberg space, Berwald space and locally Minkowskian space. The terminology and notations are referred to the Matsumoto’s monograph3.