Article ID Journal Published Year Pages File Type
5499993 Journal of Geometry and Physics 2017 6 Pages PDF
Abstract
In Jang (2014), the author proves that if the circle acts symplectically on a compact, connected symplectic manifold M with three fixed points, then M is equivariantly symplectomorphic to some standard action on CP2. In this paper, we extend the result to a circle action on an almost complex manifold; if the circle acts on a compact, connected almost complex manifold M with exactly three fixed points, then dimM=4. Moreover, the weights at the fixed points agree with those of a standard circle action on the complex projective plane CP2. Also, we deal with the cases of one fixed point and two fixed points.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
,