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Journal of Dynamical Systems and Geometric Theories
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arXiv.org e-Print Archive
Preprint . 2014
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Journal of Dynamical Systems and Geometric Theories
Article . 2020 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2014
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https://dx.doi.org/10.1080/172...
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Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Jul 2020Embargo end date: 01 Jan 2014 English Publisher:Taru PublicationsJournal:Journal of Dynamical Systems and Geometric Theories, volume 18, pages 193-209 (issn: 1726-037X, eissn: 2169-0057, Copyright policy )
Authors: Youssef, Nabil L.; Elgendi, S. G.;

doi: 10.1080/1726037x.2020.1856337 , 10.48550/arxiv.1402.0317

arXiv: 1402.0317

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

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.

LaTeX file, 14 pages

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Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53C60, 53B40, 58B20, 53C12

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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