Cohomology equations and commutators of germs of contact diffeomorphisms

Augustin Banyaga, Rafael De La Llave, C. Eugene Wayne

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study the group of germs of contact diffeomorphisms at a fixed point. We prove that the abelianization of this group is isomorphic to the multiplicative group of real positive numbers. The principal ingredient in this proof is a version of the Sternberg linearization theorem in which the conjugating diffeomorphism preserves the contact structure.

Original languageEnglish (US)
Pages (from-to)755-779
Number of pages25
JournalTransactions of the American Mathematical Society
Volume312
Issue number2
DOIs
StatePublished - Jan 1 1989

Fingerprint

Electric commutators
Diffeomorphisms
Commutator
Linearization
Cohomology
Contact
Contact Structure
Diffeomorphism
Multiplicative
Isomorphic
Fixed point
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Cohomology equations and commutators of germs of contact diffeomorphisms. / Banyaga, Augustin; De La Llave, Rafael; Eugene Wayne, C.

In: Transactions of the American Mathematical Society, Vol. 312, No. 2, 01.01.1989, p. 755-779.

Research output: Contribution to journalArticle

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