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Symplectic periodic flows with exactly three equilibrium points

Published online by Cambridge University Press:  07 August 2014

DONGHOON JANG
DONGHOON JANG*
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA email jang12@illinois.edu
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Abstract

Let the circle act symplectically on a compact, connected symplectic manifold $M$. If there are exactly three fixed points, $M$ is equivariantly symplectomorphic to $\mathbb{CP}^{2}$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 6 , December 2014 , pp. 1930 - 1963
Copyright
© Cambridge University Press, 2014 

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