Article contents
Hofer–Zehnder symplectic capacity for two-dimensional manifolds*
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper, we show that the Hofer-Zehnder symplectic capacity of a two-dimensional manifold is same as the area of the manifold. Using this fact, we also get a result on the symplectic capacity of the cotangent bundle of the torus with its canonical symplectic form.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 5 , 1993 , pp. 945 - 950
- Copyright
- Copyright © Royal Society of Edinburgh 1993
References
- 7
- Cited by