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Dr. Amr Soleiman Mahmoud Hassan :: Publications: |
Title: | Nullity distributions associated to Cartan connection
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Authors: | Nabil L. Youssef; A. Soleiman; S. G. Elgendi |
Year: | 2014 |
Keywords: | Barthel connection; Cartan connection; nullity distribution; nullity foliation; index of nullity; completely integrable; auto-parallel; Berwald space; Landesberg space; h-isotropic space; S3-like space. |
Journal: | Indian Journal of Pure and Applied Mathematics, |
Volume: | 45 |
Issue: | 2 |
Pages: | 213-238 |
Publisher: | Not Available |
Local/International: | International |
Paper Link: | Not Available |
Full paper | Amr Soleiman Mahmoud Hassan_Nulity distrubution (paper 5).pdf |
Supplementary materials | Not Available |
Abstract: |
The Klein-Grifone approach to global Finsler geometry is adopted. The nullity distributions of the three curvature tensors of Cartan connection are investigated. Nullity distributions concerning certain relevant special Finsler spaces are considered. Concrete examples are given, with the aid of maple, whenever the situation needs. |