The diffeomorphism group of a non-compact orbifold

DOI10.4064/dm507-0-1zbMath1318.58005arXiv1301.5551OpenAlexW2035124502MaRDI QIDQ4983480

Alexander Schmeding

Publication date: 26 March 2015

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5551

zbMATH Keywords

orbifoldgroups of diffeomorphismsinfinite-dimensional Lie groupsregular Lie groupsgeodesics on orbifoldsnon-compact orbifoldorbifold map in local charts

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global Riemannian geometry, including pinching (53C20) Infinite-dimensional manifolds (46T05) Topology and geometry of orbifolds (57R18)

Related Items (9)

Lie theory for asymptotic symmetries in general relativity: The NU group ⋮ Direct limits of regular Lie groups ⋮ Lie groupoids of mappings taking values in a Lie groupoid ⋮ Gravity-Matter Feynman Rules for any Valence ⋮ Diffeomorphism groups of compact convex sets ⋮ A differentiable monoid of smooth maps on Lie groupoids ⋮ The groupoid structure of groupoid morphisms ⋮ Lie theory for asymptotic symmetries in general relativity: The BMS group ⋮ Extending Whitney's extension theorem: nonlinear function spaces

Cites Work

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• ON A NOTION OF MAPS BETWEEN ORBIFOLDS I: FUNCTION SPACES
• When unit groups of continuous inverse algebras are regular Lie groups
• Diff(Rⁿ) as a Milnor–Lie group
• Elementary Differential Topology. (AM-54)
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