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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)
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