Symplectic periodic flows with exactly three equilibrium points

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 ${\mathbb{CP}}^2$.

arXiv admin note: text overlap with arXiv:1003.4787 by other authors

References in corpus (1)

• Periodic Hamiltonian flows on four dimensional manifolds

Cited by in corpus (11)

• Circle actions on almost complex manifolds with isolated fixed points
• Circle actions on almost complex manifolds with 4 fixed points
• Circle actions on oriented manifolds with discrete fixed point sets and classification in dimension 4
• Almost complex circle actions with few fixed points
• Circle actions on 8-dimensional almost complex manifolds with 4 fixed points
• Circle actions on four dimensional almost complex manifolds with discrete fixed point sets
• Non-Hamiltonian actions with fewer isolated fixed points
• Kosniowski's conjecture and weights
• Circle actions on oriented manifolds with 3 fixed points
• Circle actions on 6-dimensional oriented manifolds with 4 fixed points
• On circle actions with exactly three fixed points