Seminario de Geometría

Departamento de Matemáticas, Aula 520,

Jueves 13 de diciembre, 16:30.

SPEAKER: Christoph Bohm, Universidad de Münster.

TITLE: HOMOGENEOUS EINSTEIN METRICS ON EUCLIDEAN SPACES ARE EINSTEIN SOLVMANIFOLDS

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.