Circle actions on almost complex manifolds with isolated fixed points
Differential Geometry
2022-01-06 v2 Symplectic Geometry
Abstract
The author proved that if the circle acts symplectically on a compact, connected symplectic manifold with three fixed points, then is equivariantly symplectomorphic to some standard action on . 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 with exactly three fixed points, then . Moreover, we deal with the cases of one fixed point and two fixed points.
Cite
@article{arxiv.1510.00952,
title = {Circle actions on almost complex manifolds with isolated fixed points},
author = {Donghoon Jang},
journal= {arXiv preprint arXiv:1510.00952},
year = {2022}
}