Generalization of h-Torsion and Curvature Structures in Generalized Recurrent Space of Third Order by Cartan Covariant Derivatives
Abstract
In this research, we explore the generalized h-Torsion and curvature structures in Finsler spaces, specifically within the framework of the generalized Uₕ-TRFₙ tensor field. By deriving various expressions for these tensors, we reveal the relationships between the generalized h-Torsion tensor and Cartan’s curvature tensor. This paper extends the generalized Uₕ-Trirecurrent Finsler space. Furthermore, we obtain some relationships among different curvature tensors by using Cartan’s connection parameter Γⁱₖₕ. The results contribute to the understanding of torsion and curvature in higher-order Finsler spaces and may provide insights into advanced differential geometry and its applications in theoretical physics.
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References
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