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

DOI10.1080/1726037X.2020.1856337zbMath1499.53311arXiv1402.0317OpenAlexW3120616470MaRDI QIDQ5029657

Salah G. Elgendi, Nabil Labib Youssef

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0317

zbMATH Keywords

torsion tensorsBianchi identitiesChern connectionCartan connectionBerwald connectionBarthel connectioncurvature tensors

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Foliations (differential geometric aspects) (53C12) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• Nullity distributions associated to Cartan connection
• Formes extérieures génératrices de sprays
• Structure presque tangente et connexions. I
• Structure presque tangente et connexions. II
• A Global Approach to the Theory of Connections in Finsler Geometry
• Cartan and Berwald connections in the pullback formalism

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