Abstract.

The purpose of present paper is devoted to studying a condition under which a Finsler space with Randers change of mth root is projectively related to a mth  root metric and also to study hypersurfaces of special Finsler spaces.Further we have studied the conditions under which generalized Randers metric reduces to Rander metric and types of Finsler spaces arising from this metric and and also to investigate the various kinds of hypersurfaces of Finsler space with special (α,β) metric. 

KEYWORDS: Finsler space, Randers space, mth root metric, Hypersurfaces, Finsler spaces, C-reducible, quasi-C-reducible, p-reducible.