A special class of regular connections in Finsler geometry

DOI10.1186/S42787-019-0026-9zbMath1430.53024OpenAlexW2972129130MaRDI QIDQ2338174

Amr Soleiman

Publication date: 21 November 2019

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-019-0026-9

zbMATH Keywords

Finsler manifoldChern connectionCartan connectionnonlinear connectionBerwald connectionBarthel connectionHashiguchi connection\(P^1\)-connection

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) 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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• Geometric objects associated with the fundamental connections in Finsler geometry
• A global approach to the theory of special Finsler manifolds
• Structure presque tangente et connexions. II. Errata
• The geometry of Lagrange spaces: theory and applications
• Formes extérieures génératrices de sprays
• Structure presque tangente et connexions. I
• A Global Approach to the Theory of Connections in Finsler Geometry
• Recurrent Finsler manifolds under projective change
• Cartan and Berwald connections in the pullback formalism

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