Proper smooth \(G\)-manifolds have complete \(G\)-invariant Riemannian metrics

DOI10.1016/j.topol.2005.01.034zbMath1090.57022OpenAlexW2082450604WikidataQ115340853 ScholiaQ115340853MaRDI QIDQ817626

Marja Kankaanrinta

Publication date: 16 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.034

zbMATH Keywords

Riemannian metricHilbert spaceLie groupregular representationpropersmooth vector

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Noncompact Lie groups of transformations (57S20)

Related Items (4)

Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions ⋮ Short survey on the existence of slices for the space of Riemannian metrics ⋮ Linearization of proper actions of locally compact groups on Tychonoff spaces ⋮ Linearization of proper group actions

Cites Work

• Equivariant embeddings in euclidean space
• On the existence of slices for actions of non-compact Lie groups
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