Sign in
Back
Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach
Journal article   Peer reviewed

Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach

Nabil L. Youssef and S. G. Elgendi
Journal of dynamical systems and geometric theories, Vol.18(2), pp.193-209
02/07/2020
DOI: https://doi.org/10.1080/1726037X.2020.1856337

Abstract

Barthel connection Berwald connection Bianchi identities Cartan connection Chern connection Curvature tensors Torsion tensors
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.

Metrics

1 Record Views

Details