Staff Members - Benha University
Nullity distributions associated to Cartan connection
Indian Journal of Pure and Applied Mathematics, • 2014
Publication Information
Authors
Nabil L. Youssef; A. Soleiman; S. G. Elgendi
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,
Publisher
Not Available
Volume
45
Issue
2
Pages
213-238
publication.type
International
Paper Link
Not Available
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.