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Hofer–Zehnder symplectic capacity for two-dimensional manifolds*

Published online by Cambridge University Press:  14 November 2011

Mei-Yue Jiang
Mei-Yue Jiang
Affiliation:
Department of Mathematics, Peking University, Beijing, 100871, P.R. China
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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

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