Open Access
Research Article
Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach
*Nabil L. YoussefCorresponding authornlyoussef@sci.cu.edu.egDepartment Of MathematicsFaculty Of ScienceCairo UniversityGiza, EgyptView full profile → , S. G. Elgendisalahelgendi@yahoo.comDepartment Of MathematicsFaculty Of ScienceBenha University S:Benha, EgyptView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 17 Oct 2019
- Accepted:
- 05 Jul 2020
- Published Online:
- 07 Jan 2021
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2020.1856337
- Pages:
- 193–209
Abstract
The Klein-Grifone approach to global Finsler geometry is adopted. A global existence and uniqueness theorem for Chern connection is formulated and proved. The torsion and curvature tensors of Chern connection are derived. Some properties and the Bianchi identities for this connection are investigated. A concise comparison between Berwald, Cartan and Chern connections is presented.
Keywords
Subject Classifications
53C6053B4058B2053C12
References
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