The aim of this paper is to study compact 5-manifolds which admit fixed point free circle actions. The first result implies that the torsion in the second homology and the second Stiefel-Whitney class have to satisfy strong restrictions. We then show that for simply connected 5-manifolds these restrictions are necessary and sufficient.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Circle action
- Sasakian geometry
- Seifert bundle