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Periodic orbits and fixed points of a C1 orientation-preserving embedding of D2
Published online by Cambridge University Press: 24 October 2008
Abstract
We prove that any periodic orbit O of a C1 orientation-preserving embedding f of the 2-disc D2 is linked with a fixed point P in the sense that the corresponding periodic orbits {Φt(O)}t ≥ 0 and {Φt(P)}t ≥ 0 of any torus flow Φt suspending f are linked as knots in S3.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 307 - 310
- Copyright
- Copyright © Cambridge Philosophical Society 1990
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