On isomorphic classical diffeomorphism groups. I

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Let (Mi, αi), i = 1, 2, be two smooth manifolds equipped with symplectic, contact or volume forms αi. We show that if a group isomorphism between the automorphism groups of αi is induced by a bijective map between MMi, then this map must be a C diffeomorphism which exchanges the structures αi. This generalizes a theorem of Takens.

Original languageEnglish (US)
Pages (from-to)113-118
Number of pages6
JournalProceedings of the American Mathematical Society
Volume98
Issue number1
DOIs
StatePublished - Sep 1986

Fingerprint

Diffeomorphism Group
Classical Groups
Isomorphic
Smooth Manifold
Bijective
Diffeomorphism
Automorphism Group
Isomorphism
Contact
Generalise
Theorem
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "On isomorphic classical diffeomorphism groups. I",
abstract = "Let (Mi, αi), i = 1, 2, be two smooth manifolds equipped with symplectic, contact or volume forms αi. We show that if a group isomorphism between the automorphism groups of αi is induced by a bijective map between MMi, then this map must be a C∞ diffeomorphism which exchanges the structures αi. This generalizes a theorem of Takens.",
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On isomorphic classical diffeomorphism groups. I. / Banyaga, Augustin.

In: Proceedings of the American Mathematical Society, Vol. 98, No. 1, 09.1986, p. 113-118.

Research output: Contribution to journalArticle

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