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Examples for obstructions to action-angle coordinates

Published online by Cambridge University Press:  14 November 2011

Larry M. Bates
Larry M. Bates
Affiliation:
Department of Mathematics, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada, T2N 1N4
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Synopsis

We give examples of symplectic manifolds which are also non-trivial principal torus-bundles with Lagrangian fibres. These bundles are examples of spaces with an obstruction to the global existence of action-angle variables.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 1-2 , 1988 , pp. 27 - 30
Copyright
Copyright © Royal Society of Edinburgh 1988

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References

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