Article ID Journal Published Year Pages File Type
4605896 Differential Geometry and its Applications 2015 8 Pages PDF
Abstract

We consider Riemannian 3-manifolds P which admit a free isometric circle action and we compute the equations of conformal flatness of P   in terms of the geometry of the fibration P→P/S1P→P/S1. This computation is applied in order to classify conformally flat circle bundles over compact oriented surfaces.

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Physical Sciences and Engineering Mathematics Analysis
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