Talk page
Title:
NON-COMPACT EINSTEIN MANIFOLDS WITH SYMMETRY
Speaker:
Abstract:
For Einstein manifolds with negative scalar curvature admitting anisometric 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: Any homogeneous Einstein manifold with negative scalar curvature is diffeomorphic to a Euclidean space. This is joint work with R. Lafuente.
Link:
Workshop: