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 language | English (US) |
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Pages (from-to) | 755-779 |
Number of pages | 25 |
Journal | Transactions of the American Mathematical Society |
Volume | 312 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1989 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics