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

https://doi.org/10.48185/jmam.v2i2.276

Authors

Keywords:

BC-Recurrent Finsler space, Cartan's second curvature tensor, (h)hv–torsion tensor, recurrence property

Abstract

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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Published

2021-06-30

How to Cite

Abdallah, A. A. ., Navlekar, A. A. ., & Ghadle, K. P. . (2021). On B- Covariant Derivative of First Order for Some Tensors in different Spaces. Journal of Mathematical Analysis and Modeling, 2(2), 30–37. https://doi.org/10.48185/jmam.v2i2.276