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 are locally isometric to a nilsoliton. Applications will be discussed. This is joint work with R. Lafuente.

differential geometry

Audience: researchers in the topic

B.O.W.L Geometry Seminar