Hypersurfaces of a Projective Randers conformal change

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 $F^{n-1}$ remains to be a totally geodesic hypersurface $F^{n-1}$ 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.

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