Certain types of Kh-birecurrent finsler space (i)‎

Abstract EN

H.D.

Pande and B.

Singh [21] discussed the recurrency in an affinely connected space.

P.K.

Dwivedi [6] worked out the role of P*-reducible space in affinely connected space.

A.A.A.

Muhib [20] obtained some results when Rh-generalized trirecurrent and Rh-special generalized trirecurrent spaces are affinely connected spaces.

A.A.

M.

Saleem [24] obtained some results when the Ch-recurrentin Ch-generalized birecurrent and Ch-special generalized birecurrent are affinely connected spaces.

A Landsberg space of dimension 2 was first considered by G.

Landsberg [14] from a standpoint of variation.

As to such spaces of many dimensions, E.

Cartan [5] introduced it as one of particular cases and further L.

Berwald ([2],[3]) showed that the space was characterized by P i jkh = 0, where P i jkh is the (hv)-curvature tensor.

H.

Yasuda [26] gave other characterizations of a Landsberg space and contributed a little to the theory of Landsberg spaces.

R.

Verma [25] obtained the condition of a P-reducible Rh-recurrent space be a necessarily a Landsberg space.

A.A.M.

Saleem [24] obtained some results when the Ch-recurrentin Ch-generalized birecurrent and Ch-special generalized birecurrent spaces are Landsberg spaces.

P.K.

Dwivedi [6] worked out the role of P *-reducible space in Landsberg space.

In this paper we use the property of kh-BR-Fn in affinely connected space and Landsberg space.

We have obtained different theorems for some tensors to be satisfying the conditions of the above spaces and we have obtained various identities in such spaces.