4-dimensional G-manifolds with 3-dimensional orbits. (English) Zbl 0599.57016
We describe the smooth G-actions of compact 4-manifolds with 3- dimensional principal orbits. We obtain equivariant and topological classifications of such actions. We include two lists: the manifolds organized by the group action, and the manifolds ordered by topological type, sorted on the first homology.
MSC:
57S15 | Compact Lie groups of differentiable transformations |
57S25 | Groups acting on specific manifolds |
57N13 | Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010) |