Conformally Flat Circle Bundles over Surfaces
Sebastian Heller
TL;DR
This paper classifies certain 3-dimensional conformally flat manifolds that admit a free isometric circle action, providing a comprehensive understanding of their geometric structure.
Contribution
It offers a complete classification of conformally flat 3-manifolds with free isometric circle actions, advancing the understanding of their geometric and topological properties.
Findings
Classification of conformally flat circle bundles over surfaces
Identification of geometric structures compatible with free circle actions
Extension of known results in 3-manifold geometry
Abstract
We classify conformally flat Riemannian manifolds which possesses a free isometric action.
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