Topology of Non-simply connected LCF 4-Manifolds

Mathematics – Differential Geometry

Scientific paper

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27 pages, 30 figures. Small revision, typos

Scientific paper

We construct handlebody diagrams of families of non-simply connected Locally Conformally Flat (LCF) 4-manifolds realizing rich topological types, which are obtained from conformal compactification of the 3-manifolds, that are built from the Panelled Web Groups. These manifolds have strictly negative scalar curvature and the underlying topological 4-manifolds do not admit any Einstein metrics.

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