Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Homogeneous Einstein metrics on Euclidean spaces

Christoph Böhm

created by daniele on 02 Sep 2019
modified on 11 Sep 2019

17 sep 2019 -- 14:30

Aula Tricerri, DiMaI, Firenze

Abstract.

We show that homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds, using that they admit periodic, integrally minimal foliations by homogeneous hypersurfaces. For the geometric flow induced by the orbit-Einstein condition, we construct a Lyapunov function based on curvature estimates which come from real GIT.

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