不同空间中某些张量的一阶B-协变导数

Journal of Mathematical Analysis and Modeling Pub Date : 2021-06-30 DOI:10.48185/JMAM.V2I2.276

Alaa A. Abdallah, A. Navlekar, K. Ghadle

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引用次数: 0

摘要

本文研究了Cartan二阶曲率张量$P_{jkh}^{i}$与$(h) hv-$扭转张量$C_{jk}^{i}$在Berwald意义上的关系。进一步讨论了$BC$-$RF_{n}$、$P2$- - -$BC$-$RF_{n}$、$P^{\ast}$-$BC$-$RF_{n}$和$P$-可约-$BC-RF_{n}$中满足递归性质的张量的充要条件。

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On B- Covariant Derivative of First Order for Some Tensors in different Spaces

In this paper, we study the relationship between Cartan's second curvature tensor $P_{jkh}^{i}$ and $(h) hv-$torsion tensor $C_{jk}^{i}$ in sense of Berwald. Moreover, we discuss the necessary and sufficient condition for some tensors which satisfy a recurrence property in $BC$-$RF_{n}$, $P2$-Like-$BC$-$RF_{n}$, $P^{\ast }$-$BC$-$RF_{n}$ and $P$-reducible-$BC-RF_{n}$.

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Journal of Mathematical Analysis and Modeling

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