Finsler 2-manifolds with maximal holonomy group of infinite dimension

DOI10.1016/j.difgeo.2015.01.001zbMath1326.53064OpenAlexW2010240948WikidataQ115356062 ScholiaQ115356062MaRDI QIDQ490679

Zoltán Muzsnay, Péter T. Nagy

Publication date: 27 August 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2015.01.001

zbMATH Keywords

holonomyFinsler geometrygroups of diffeomorphismsinfinite-dimensional Lie groupsLie algebras of vector fields

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) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Issues of holonomy in differential geometry (53C29) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (6)

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 ⋮ Almost all Finsler metrics have infinite dimensional holonomy group ⋮ Tangent Lie algebra of a diffeomorphism group and application to holonomy theory ⋮ Holonomy in the quantum navigation problem

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