Abstract
We prove that the geometric structures defined by a volume form or a symplectic form (with a mild additional condition) on smooth manifolds are determined by their automorphism groups. This is a contribution to the Erlangen Program of Klein.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 23-35 |
| Number of pages | 13 |
| Journal | Journal of Differential Geometry |
| Volume | 28 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1988 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Geometry and Topology
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