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Dr. Salah Gomaa Ahmed Ali Elgendi :: Publications: |
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| Title: | Existence and uniqueness of Chern connection in the Klein-Grifone approach, Submitted. ArXiv: 1402.0317 [math. DG]. |
| Authors: | Nabil L. Youssef and S. G. Elgendi |
| Year: | 2014 |
| Keywords: | Not Available |
| Journal: | Not Available |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Salah Gomaa Ahmed Ali Elgendi_1402.0317v1.pdf |
| Supplementary materials | Not Available |
| 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. |
