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

Document Type : Original Article

Authors

1 Department of Mathematics, Abyan University, Abyan 80425, Yemen

2 Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen

3 Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Pratishthan Mahavidyalaya, Paithan, India

4 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India

5 Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran

Abstract

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.

Keywords

Journal of Finsler Geometry and its Applications
Volume 4, Issue 2
December 2023
Pages 113-127

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