Mathematische Zeitschrift

, Volume 252, Issue 1, pp 19–25

Free circle actions with contractible orbits on symplectic manifolds


    • Mathematisches InstitutLudwig-Maximilians-Universität München

DOI: 10.1007/s00209-005-0841-6

Cite this article as:
Kotschick, D. Math. Z. (2006) 252: 19. doi:10.1007/s00209-005-0841-6


We prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms. In higher dimensions such actions by symplectomorphisms do exist, and we give explicit examples based on the constructions of FGM.

Mathematics Subject Classification (2000)

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© Springer-Verlag Berlin Heidelberg 2005