Hypersurfaces of a Projective Randers conformal change

الأصل · EN

In the year 1984 Shibata investigated the theory of a change which is called a β-change of a Finsler metric. On the other hand in 1985 a systematic study of geometry of hypersurfaces in Finsler spaces was given by Matsumoto. In the present paper is to devoted to the study of a condition for a Randers conformal change to be projective and find out when a totally geodesic hypersurface Fⁿ⁻¹ remains to be a totally geodesic hypersurface Fⁿ⁻¹ under the projective Randers conformal change. Further obatined the condition under which a Finslerian hypersurfaces given by the projective Randers conformal change are projectively flat.