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Special Riemannian Metrics and Curvature Functionals

Einstein manifolds with symmetry

speaker: Ramiro Lafuente (University of Queensland, Brisbane)

abstract: In this talk we will discuss joint work in collaboration with Christoph Böhm in which we obtain structure results for non-compact Einstein manifolds admitting a cocompact isometric action of a connected Lie group. As an application, we prove the Alekseevskii conjecture (1975): any connected homogeneous Einstein space of negative scalar curvature is diffeomorphic to a Euclidean space. If time permits, I will also present a more recent splitting result in the case of a semisimple group action.

timetable:
Thu 9 Jun, 15:00 - 16:00, Aula Dini
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