Geometry Seminar: E. Woolgar (University of Alberta)
Geometry Seminar (Geometric Analysis)
Speaker:Eric Woolgar (University of Alberta)
Title: Quasi-Einstein equations and a Myers-Perry rigidity problem
Speaker:Eric Woolgar (University of Alberta)
Title: Quasi-Einstein equations and a Myers-Perry rigidity problem
Abstract: Quasi-Einstein equations are generalizations of the Einstein equation. They arise from warped product Einstein metrics (Kaluza-Klein reductions), Ricci solitons, cosmology, near-horizon geometries, and smooth measured Lorentzian length spaces. Despite their apparent generality, they often have a surprising rigidity. I will review some recent developments in the area, focusing on near-horizon geometries, including Dunajski and Lucietti's near-horizon version of the Hawking rigidity theorem. I will discuss in detail an application to 5-dimensional extreme (Myers-Perry type) black holes whose horizons carry a left-invariant SU(2) metric.
This talk is based on joint work with Eric Bahuaud, Sharmila Gunasekaran, and Hari K Kunduri.