Study on the Relationship Between Two Curvature Tensors in Finsler spaces
Keywords:
Cartan's second curvature tensor $P_{jkh}^i$, Cartan's third curvature tensor $R_{jkh}^i$, Berwald covariant derivative $\mathfrak{B}_k$.Abstract
The generalized $\mathfrak{B}P-$recurrent space and generalized $\mathfrak{B}P-$ birecurrent space introduced by \cite{4, 15}. Now, in this paper, two theorems clarify the relationship between $P_{jkh}^i$ and $R_{jkh}^i$ have been established and proved in the above mentioned spaces. The necessary and sufficient condition for $R_{jkh}^i$ which satisfy the generalized recurrence and birecurrence property have been obtained.
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Published
2023-12-29
How to Cite
Abdallah, A. (2023). Study on the Relationship Between Two Curvature Tensors in Finsler spaces. Journal of Mathematical Analysis and Modeling, 4(2), 112–120. https://doi.org/10.48185/jmam.v4i2.937
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Copyright (c) 2023 Alaa Abdallah
This work is licensed under a Creative Commons Attribution 4.0 International License.
