FINSLERIAN HYPERSURFACES AND RANDERS CONFORMAL CHANGE OF A FINSLER METRIC

H.S. Shukla, V.K. Chaubey, A. Mishra
2013 International Journal of Pure and Applied Mathematics  
In the present paper we have studied the Finslerian hypersurfaces and Randers conformal change of a Finsler metric. The relations between the Finslerian hypersurface and the other which is Finslerian hypersurface given by Randers conformal change have been obtained. We have also proved that Randers conformal change makes three types of hypersurfaces invariant under certain condition. These three types of hypersurfaces are hyperplanes of first, second and third kind.
doi:10.12732/ijpam.v87i5.3 fatcat:f6io2hlm35fflhviwy4f2lmtpm