International Research Journal of Innovations in Engineering and Technology - IRJIET International Open Access, Monthly, Peer Reviewed, Reputed Journal ISSN (online): 2581-3048

Impact Factor (2025): 6.9

DOI Prefix: 10.47001/IRJIET

On Certain Types of Chv - Mixed Trirecurrent Finsler Space

Adel M. Al- QashbariDepartment of Mathematics, Faculty of Education, Aden University, Aden, Yemen & Department of Engineering‚ Faculty of the Engineering and Computers, Univ. of Science & Technology-Aden‚ YemenAlaa A. AbdallahDepartment of Mathematics, Faculty of Education, Abyan University, Abyan, YemenFatma A. AhmedDepartment of Mathematics, Faculty of Education, Aden University, Aden, Yemen

Vol 10 No 1 (2026): Volume 10, Issue 1, January 2026 | Pages: 173-184

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 03-02-2026

doi Logo doi.org/10.47001/IRJIET/2026.101022

pdf iconFull Text PDF
Abstract

In Finsler geometry, there are two types of Cartan’s covariant derivatives that are called v - covariant derivative and h - covariant derivative. In this paper, we deal with both derivatives simultaneously and introduce a Chv -mixed trirecurrent space. Furthermore, we study special spaces, such as P2 Like space and P* - space in the main space.

Keywords

Chv–mixed trirecurrent space, v-covariant derivative, h-covariant derivative, P2- Like-space and P*- space.


Citation of this Article

Adel M. Al- Qashbari, Alaa A. Abdallah, & Fatma A. Ahmed. (2026). On Certain Types of Chv - Mixed Trirecurrent Finsler Space. International Research Journal of Innovations in Engineering and Technology - IRJIET, 10(1), 173-184. Article DOI https://doi.org/10.47001/IRJIET/2026.101022

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
References
  1. A.M. Al-Qashbari, Certain types of generalized recurrent in Finsler space, Ph.D. Thesis, University of Aden, (2016), Yemen.
  2. A.M. Al-Qashbari, A. A. Abdallah and F. A. Ahmed, A Study of  Chv - mixed birecurrent Finsler space in Cartan sense, International Journal of Muultidisciplinary Research in Science, Engineering and Technology, 8(1), (2025). 1-6.
  3. A.M. Al-Qashbari, A. A. Abdallah and F. A. Ahmed, On generalized birecurrentFinsler space of mixed covariant derivatives in Cartan sense, International Journal of Research Publication and Reviews, 5(8), (2024), 2834-2840.
  4. A.M. Al-Qashbari, A. A. Abdallah and F. A. Ahmed, Generalized trirecurren Finsler space under Cartan–type mixed covariant derivatives, International Journal Advanced Research in science, 5(1), (2025), 219-226.
  5. K. P. Ghadle, A. A. Abdallah and A. A. Navlekar, Analysis for Cartan’s second curvature tensor in Finsler space, International Journal of Advanced Research in Science, Communication and Technology, 2(3), (2022), 1-5.
  6. K. P. Ghadle, A. A. Abdallah and A. A. Navlekar, Special types of generalized BP - recurrentspaces, Journal of Computer and Mathematical Sciences, 10(5), (2019), 972-979.
  7. Cartan, Sur les espaces de Finsler, Actualite. Paris, 79 (1934); 2nd edit.(1971).
  8. H. Izumi, On P - Finsler spaces I, Memo Defence Acad. (Japan), 16 (1976),133-138.
  9. F. Y. Qasem and A. A. Abdallah, P2 - Like and P* - generalized  BR -  recurrent space, International Research Journal of Advanced Engineering and Science, 1(4), (2016), 9-12.
  10. H. Rund.The differential geometry of Finsler space, SpringVerlag, Berlin Gottingen Heidelberg, (1959); 2nd edit. (in Russian), Nauka, (Moscow), (1981).
  11. M. Matsumoto, On h - isotropic and Ch -  recurrent Finsler, J. Math. Kyoto Univ., 11 (1971), 1 – 9.
  12. C. K. Mishra and G.Lodhi, On Ch -  recurrent and Ch -  recurrent Finsler spaces of second order, Int. J. Contemp. Math. Sciences, 17(3), (2008), 801-810.

Copyright @ 2026 IRJIET. All Right Reserved.

Licensed underCreative Commons Attribution 4.0 International License.