Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds
نویسندگان
چکیده
We show that homogeneous Einstein metrics on Euclidean spaces are solvmanifolds, using they admit periodic, integrally minimal foliations by hypersurfaces. For the geometric flow induced orbit-Einstein condition, we construct a Lyapunov function based curvature estimates which come from real GIT.
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2022
ISSN: ['1364-0380', '1465-3060']
DOI: https://doi.org/10.2140/gt.2022.26.899