SMS scnews item created by Boris Lishak at Fri 12 Apr 2019 1439
Type: Seminar
Distribution: World
Calendar1: 16 Apr 2019 1400-1500
CalLoc1: Carslaw 535A
CalTitle1: Lafuente -- Homogeneous Einstein manifolds via a cohomogeneity-one approach
Auth: borisl@dora.maths.usyd.edu.au

Geometry and Topology Seminar

Homogeneous Einstein manifolds via a cohomogeneity-one approach

Ramiro Lafuente (UQ)

Please join us for lunch before the talk. We are meeting at 12:45 on Carslaw level 2.

Abstract: We establish non-existence results on non-compact homogeneous Einstein manifolds. The key idea in the proof is to consider non-transitive group actions on these spaces (more precisely, actions with cohomogeneity one), and to find geometric monotone quantities for the ODE that results from writing the Einstein equation in such a setting. As an application, we show that homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds. This is joint work with C. Böhm (Münster).


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