The necessary and sufficient condition for the group of leaf preserving diffeomorphisms to be simple

DOI10.2969/jmsj/06410181zbMath1247.58010OpenAlexW2067714040MaRDI QIDQ763981

Kazuhiko Fukui

Publication date: 3 April 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06410181

zbMATH Keywords

commutatorsimple groupleaf preserving diffeomorphismdense leaf

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Foliations in differential topology; geometric theory (57R30) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Groups as automorphisms of other structures (22F50)

Related Items (1)

A parametrized de Rham decomposition theorem for CR manifolds

Cites Work

• Commutator length of leaf preserving diffeomorphisms
• The identity component of the leaf preserving diffeomorphism group is perfect
• ON THE GROUP OF FOLIATION PRESERVING DIFFEOMORPHISMS
• Foliations and groups of diffeomorphisms
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