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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 | ||
آمار تعداد مشاهده مقاله: 56 تعداد دریافت فایل اصل مقاله: 57 |