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 language | English (US) |
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Pages (from-to) | 113-118 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 98 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1986 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics