Two Results to Clarify the Relationship Between and with Two Connections of Third Order in Finsler Spaces

A.Prof.Dr. Alaa  A. Abdallah 
Department of Mathematics
Faculty of Education
Abyan University
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A.Prof.Dr. Basel Hardan
Department of Mathematics
Faculty of Education
Abyan University
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Keywords: Holomorphic ally projective curvature tensor , covariant derivative, and covariant derivative.

Abstract

       The relations between various curvature tensors discussed by Finslerian geometrics. In this paper, two theorems that clarify the relationship between and in generalized tri-recurrent space are discussed. Moreover, the behavior of some tensors are tri-recurrent if  satisfies the generalized tri-recurrence property.