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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

J. M. Gambaudo
J. M. Gambaudo
Affiliation:
I.M.P.A., 110 Est Dona Castorina, Jardin Botanico, C.E.P. 22460, Rio de Janeiro, R.J., Brasil
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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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References

REFERENCES

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