Event
Éric Bahuaud, Seattle University
Friday, October 20, 2017 11:00to12:00
Room PK-5115 , Pavillon President-Kennedy, UQAM, CA
Low regularity conformally compact Einstein metrics.
A C^2 conformally compact Einstein metric has sectional curvature decay to -1 up to corrections that are quadratic in the boundary defining function. In this talk I'll discuss the relationship between the curvature decay rate of a generic asymptotically hyperbolic metric and the regularity of the conformal compactification. I then discuss recent work with John M Lee that proves the existence of a low regularity conformally compact Einstein metric with quadratic curvature decay.