University of Mohaghegh Ardabili Journal of Finsler Geometry and its Applications 2783-0500 4 2 2023 12 01 The necessary and sufficient condition for Cartan’s second curvature tensor which satisfies recurrnce and birecurrence property in generalized Finsler spaces 113 127 2732 10.22098/jfga.2023.13740.1101 EN Alaa A. Abdallah Department of Mathematics, Abyan University, Abyan 80425, Yemen Ahmed A. Hamoud Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen Basel Hardan Department of Mathematics, Abyan University, Abyan 80425, Yemen A. Navlekar Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Pratishthan Mahavidyalaya, Paithan, India Kirtiwant Ghadle Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India Homan Emadifar Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran Journal Article 2023 09 28 The recurrence and birecurrence property in Finsler space have been studied by the Finslerian<br />geometrics. The aim of this paper is to obtain the necessary and sufficient condition for Cartan’s second<br />curvature tensor that is recurrnt and birecurrent in generalized BP−recurrent space and generalized<br />BP−birecurrent space, respectively. We discuss certain identities belong to the mentioned spaces. Further,<br />we end up this paper with some illustrative examples. https://jfga.uma.ac.ir/article_2732_334f3b22bac9b9a6148fb83df5ffbfbf.pdf