Nullity distributions associated to Cartan connection

Nabil L. Youssef (), A. Soleiman () and S. G. Elgendi ()
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Nabil L. Youssef: Cairo University
A. Soleiman: Benha University
S. G. Elgendi: Benha University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 2, 213-238

Abstract: 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 whenever the situation needs.

Keywords: Barthel connection Cartan connection; nullity distribution; nullity foliation; index of nullity; completely integrable; auto-parallel; Berwald space; Landesberg space; h-isotropic space; S 3-like space. (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0060-0

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