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Abdallah, Alaa A., Hamoud, Ahmed A., Hardan, Basel, navlekar, A., Ghadle, Kirtiwant, Emadifar, Homan. (1402). The necessary and sufficient condition for Cartan’s second curvature tensor which satisfies recurrnce and birecurrence property in generalized Finsler spaces. سامانه مدیریت نشریات علمی, 4(2), 113-127. doi: 10.22098/jfga.2023.13740.1101
Alaa A. Abdallah; Ahmed A. Hamoud; Basel Hardan; A. navlekar; Kirtiwant Ghadle; Homan Emadifar. "The necessary and sufficient condition for Cartan’s second curvature tensor which satisfies recurrnce and birecurrence property in generalized Finsler spaces". سامانه مدیریت نشریات علمی, 4, 2, 1402, 113-127. doi: 10.22098/jfga.2023.13740.1101
Abdallah, Alaa A., Hamoud, Ahmed A., Hardan, Basel, navlekar, A., Ghadle, Kirtiwant, Emadifar, Homan. (1402). 'The necessary and sufficient condition for Cartan’s second curvature tensor which satisfies recurrnce and birecurrence property in generalized Finsler spaces', سامانه مدیریت نشریات علمی, 4(2), pp. 113-127. doi: 10.22098/jfga.2023.13740.1101
Abdallah, Alaa A., Hamoud, Ahmed A., Hardan, Basel, navlekar, A., Ghadle, Kirtiwant, Emadifar, Homan. The necessary and sufficient condition for Cartan’s second curvature tensor which satisfies recurrnce and birecurrence property in generalized Finsler spaces. سامانه مدیریت نشریات علمی, 1402; 4(2): 113-127. doi: 10.22098/jfga.2023.13740.1101

The necessary and sufficient condition for Cartan’s second curvature tensor which satisfies recurrnce and birecurrence property in generalized Finsler spaces

Journal of Finsler Geometry and its Applications
دوره 4، شماره 2، اسفند 2023، صفحه 113-127    اصل مقاله (314.71 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2023.13740.1101
نویسندگان
Alaa A. Abdallah1؛ Ahmed A. Hamoud2؛ Basel Hardan1؛ A. navlekar3؛ Kirtiwant Ghadle4؛ Homan Emadifar* 5
1Department of Mathematics, Abyan University, Abyan 80425, Yemen
2Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen
3Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Pratishthan Mahavidyalaya, Paithan, India
4Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India
5Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran
چکیده
The recurrence and birecurrence property in Finsler space have been studied by the Finslerian
geometrics. The aim of this paper is to obtain the necessary and sufficient condition for Cartan’s second
curvature tensor that is recurrnt and birecurrent in generalized BP−recurrent space and generalized
BP−birecurrent space, respectively. We discuss certain identities belong to the mentioned spaces. Further,
we end up this paper with some illustrative examples.
کلیدواژه‌ها
Cartan’s second curvature tensor؛ Berwald’s covariant derivative؛ recurrence property؛ birecurrence property؛ projection on indicatrix
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