Tangent Lie algebras to the holonomy group of a Finsler manifold

zbMath1247.53026arXiv1212.0069MaRDI QIDQ2904193

Zoltán Muzsnay, Péter T. Nagy

Publication date: 6 August 2012

Full work available at URL: https://arxiv.org/abs/1212.0069

zbMATH Keywords

Finsler manifoldtangent Lie algebrathe holonomy group

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Issues of holonomy in differential geometry (53C29) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (5)

New developments in holonomy theory of differentiable systems ⋮ Holonomy Theory of Finsler Manifolds ⋮ The holonomy group of locally projectively flat Randers two-manifolds of constant curvature ⋮ Tangent Lie algebra of a diffeomorphism group and application to holonomy theory ⋮ Holonomy in the quantum navigation problem

Cites Work

• Holonomy of a class of bundles with fibre metrics
• Finsler manifolds with non-Riemannian holonomy
• Nichtlineare Zusammenhänge und deren Holonomiegruppen.
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