On normal projective trirecurrent finsler space

Abstract EN

The purpose of this paper is to discuss the trirecurrent normal projective curvature tensor i Njkh in Finsler space equipped with Berwald's connection.

Such space in which the normal projective curvature tensor is trirecurrent is denoted by NPTR-Fn .

Different results have been obtained in this space .

We obtained the necessary and sufficient condition for NPTR-Fn to be TR-Fn (Trirecurrent Finsler space).

Certain properties of such space have been searched out and its relation with a space in which Weyl's projective curvature tensor i Wjkh is trirecurrent.

Finally, we discussed the recurrence curvature tensor field nml a of third order , dealing with properties of the recurrence tensor of an NPTR-Fn