Tangent Lie algebra of a diffeomorphism group and application to holonomy theory

DOI10.1007/s12220-018-00138-3zbMath1433.22010arXiv1805.05265OpenAlexW2801286884WikidataQ114688348 ScholiaQ114688348MaRDI QIDQ2303785

Balázs Hubicska, Zoltán Muzsnay

Publication date: 5 March 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05265

zbMATH Keywords

Finsler geometryholonomy groupdiffeomorphism groupinfinite-dimensional Lie group

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) 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 (1)

Almost all Finsler metrics have infinite dimensional holonomy group

Cites Work

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• Finsler 2-manifolds with maximal holonomy group of infinite dimension
• The holonomy group of locally projectively flat Randers two-manifolds of constant curvature
• Structure presque tangente et connexions. I
• Tangent Lie algebras to the holonomy group of a Finsler manifold
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Connections, Sprays and Finsler Structures
• Characterization of projective Finsler manifolds of constant curvature having infinite dimensional holonomy group
• Finsler manifolds with non-Riemannian holonomy

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