Stardom Scientific Journal of Natural and Engineering Sciences

The Relationship Between Weyl’s Curvature Tensor and The Coharmonic Tesdor in Generalized Recurrent Finsler Spaces

Puplisher : Stardom

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This paper explores the geometric relationship between Weyl’s curvature tensor and the conharmonic tensor in generalized recurrent Finsler spaces. The study begins with a review of the fundamental definitions and recurrence conditions governing Finsler geometry. 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 and offer potential applications in the study of geometric structures with special curvature properties. Furthermore, the results may have implications for broader areas in differential geometry and mathematical physics, where such tensors play a key role in describing the curvature and topology of manifolds.

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