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

Author(s):

Alaa A. Abdallah , Ahmed A. Hamoud , Basel Hardan , A. navlekar , Kirtiwant Ghadle , Homan Emadifar *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Cartan’s second curvature tensor , Berwald’s covariant derivative , recurrence property , birecurrence property , projection on indicatrix

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:4 Issue: 2, Dec 2023
Pages:
113 to 127
https://www.magiran.com/p2677372  
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