On the structure of certain nontransitive diffeomorphism groups on open manifolds

• Autorzy: Kowalik A. , Lech J. , Michalik I.
• Języki publikacji: EN

Abstrakty

EN

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 that the group is uniformly perfect as well.

Słowa kluczowe

EN

foliated manifold; bounded group; conjugation-invariant norm; group of diffeomorphisms; commutator; perfectness; uniform perfectness

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 3
• Strony: 511--520
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Kowalik A.

autor

Lech J.

autor

Michalik I.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Krakow, Poland,

Bibliografia

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