The Necessary and Sufficient Condition for Cartan’s Second Curvature Tensor which Satisfies Recurrnce and Birecurrence Property in Generalized Finsler Spaces
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 42
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شناسه ملی سند علمی:
JR_JFGA-4-2_011
تاریخ نمایه سازی: 13 دی 1402
چکیده مقاله:
The recurrence and birecurrence property in Finsler space have been studied by the Finsleriangeometrics. The aim of this paper is to obtain the necessary and sufficient condition for Cartan’s secondcurvature tensor that is recurrnt and birecurrent in generalized BP−recurrent space and generalizedBP−birecurrent space, respectively. We discuss certain identities belong to the mentioned spaces. Further,we end up this paper with some illustrative examples.
کلیدواژه ها:
Cartan’s second curvature tensor ، Berwald’s covariant derivative ، recurrence property ، birecurrence property ، projection on indicatrix
نویسندگان
Alaa A. Abdallah
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Science and Technology, Aurangabad, India
A. navlekar
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, India.
Kirtiwant Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India.
Ahmed A. Hamoud
Department of Mathematics, Taiz University, Taiz P.O. Box ۶۸۰۳, Yemen
Homan Emadifar
Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran