Non-compact Einstein manifolds with symmetry

Abstract: For Einstein manifolds with negative scalar curvature admitting an isometric action of a Lie group $G$ with compact, smooth orbit space, we show the following rigidity result: The nilradical $N$ of $G$ acts polarly, and the $N$-orbits can be extended to minimal Einstein submanifolds.

As an application, we prove the Alekseevskii conjecture. This is joint work with R. Lafuente.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

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