On commutators of equivariant diffeomorphisms

DOI10.3792/PJAA.54.52zbMath0398.57032OpenAlexW2012342247MaRDI QIDQ1254045

Kazuhiko Fukui, Kōjun Abe

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.52

zbMATH Keywords

Compact Lie GroupGroups of DiffeomorphismsPrincipal G-Manifolds

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Other groups related to topology or analysis (20F38) Differential topological aspects of diffeomorphisms (57R50)

Related Items (9)

On the boundedness of equivariant homeomorphism groups ⋮ The identity component of the leaf preserving diffeomorphism group is perfect ⋮ On commutators of equivariant homeomorphisms ⋮ The first homology of the group of equivariant diffeomorphisms and its applications ⋮ On the homotopy types of the groups of equivariant diffeomorphisms ⋮ Diffeomorphism groups of compact manifolds ⋮ On the first homology of automorphism groups of manifolds with geometric structures ⋮ Commutator length of leaf preserving diffeomorphisms ⋮ Commutators of \(C^{\infty }\)-diffeomorphisms preserving a submanifold

Cites Work

• Commutators of diffeomorphisms. II
• On the structure of the group of equivariant diffeomorphisms
• Foliations and groups of diffeomorphisms
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