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DOI Prefix: 10.47001/IRJIET

On U-Recurrent Finsler Space

Abdalstar Ali Mohsen SaleemDepartment of Mathematics, Faculty of Sciences, Aden University, Aden, YemenAlaa A. AbdallahDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India & Department of Mathematics, Faculty of Education, Abyan University, Abyan, Yemen

Vol 6 No 1 (2022): Volume 6, Issue 1, January 2022 | Pages: 58-63

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 18-01-2022

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Abstract

In the present paper, we introduce a Finsler space which hv - curvature tensor satisfies the recurrence property in sense of Cartan. The relationship between hv - curvature tensor Uijkh and Douglas tensor Dijkh have been studied. We obtain the necessary and sufficient condition for some tensors to be recurrent. Finally, the recurrence property in a projection on indicatrix with respect to Cartan connection has been discussed.

Keywords

recurrent space, Douglas tensor, projection on indicatrix.


Citation of this Article

Abdalstar Ali Mohsen Saleem, Alaa A. Abdallah, “On U-Recurrent Finsler Space”, Published in International Research Journal of Innovations in Engineering and Technology - IRJIET, Volume 6, Issue 1, pp 58-63, January 2022. Article DOI https://doi.org/10.47001/IRJIET/2022.601012

Licence Copyright (c) 2026 International Research Journal of Innovations in Engineering and Technology creative common licence This work is licensed under Creative common Attribution Non Commercial 4.0 Internation Licence
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