On the structure of certain nontransitive diffeomorphism groups on open manifolds

It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows th...

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Principais autores:	Agnieszka Kowalik, Jacek Lech, Ilona Michalik
Formato:	Artigo
Idioma:	Inglês
Publicado em:	AGH Univeristy of Science and Technology Press 2012-01-01
Colecção:	Opuscula Mathematica
Assuntos:	foliated manifold bounded group conjugation-invariant norm group of diffeomorphisms commutator perfectness uniform perfectness
Acesso em linha:	http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3235.pdf
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