Abstract

This paper explores the geometric relationship between Weyl's curvature tensor and the conharmonic tensor in generalized recurrent Finsler spaces. Using tensorial identities and recurrence properties, several geometric relations are derived to describe how these tensors behave under specific recurrence transformations. The main results show that the Weyl and conharmonic tensors are interrelated through certain curvature conditions, leading to equivalence in their vanishing and recurrence properties under well-defined constraints. These findings contribute to a deeper understanding of the intrinsic geometry of generalized recurrent Finsler spaces.