Some rigidity results for asymptotically hyperbolic Einstein metrics

-
Matthew Gursky, Norte Dame
Fine Hall 314

In this talk I will describe some gap estimates for 'even' and self-dual AHE metrics in dimension four.  Even AHE metrics naturally arise from a non-local variational problem, and there is an interesting parallel between uniqueness questions for Einstein metrics on S^4 and even AHE metrics on the ball.  I will also explain a connection to the study of self-dual AHE metrics.  This is joint work with S. McKeown and A. Tyrrell.