ON GENERALIZED – \(K_{(B)}\) QUAD – RECURRENT IN FINSLER SPACE

Adel Mohammed Ali Al-Qashbari; Abdullah Saeed Abdullah Saeed

doi:10.47372/ejua-ba.2024.2.350

ON GENERALIZED – \(K_{(B)}\) QUAD – RECURRENT IN FINSLER SPACE

Authors

Adel Mohammed Ali Al-Qashbari Dept. of Mathematics, Faculty of Education-Aden, Aden University, Aden, Yemen.
Abdullah Saeed Abdullah Saeed Dept. of Mathematics, Faculty of Education-Aden, Aden University, Aden, Yemen.

DOI:

https://doi.org/10.47372/ejua-ba.2024.2.350

Keywords:

Recurrent Finsler space, Fourth order recurrent Finsler space, Non-metric Finsler connection, Curvature tensor

Abstract

In this paper, we study the generalized -quad recurrent Finsler spaces of fourth order with a non-metric Finsler connection. We obtain the expressions of the fourth order recurrent curvature tensor and the h-fourth order recurrent curvature tensor. We also study the properties of these tensors and obtain some interesting results.

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Author Biography

Adel Mohammed Ali Al-Qashbari, Dept. of Mathematics, Faculty of Education-Aden, Aden University, Aden, Yemen.

Dept. of Engineering‚ Faculty of Engineering and Computer, University of Science & Technology-Aden‚ Yemen.

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Published

2024-06-30

How to Cite

Al-Qashbari, A. M. A., & Saeed, A. S. A. (2024). ON GENERALIZED – \(K_{(B)}\) QUAD – RECURRENT IN FINSLER SPACE. Electronic Journal of University of Aden for Basic and Applied Sciences, 5(2), 173–179. https://doi.org/10.47372/ejua-ba.2024.2.350