Some rigidity results for asymptotically hyperbolic Einstein metrics
Some rigidity results for asymptotically hyperbolic Einstein metrics
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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.