23 citations · 46 across the 8 of their papers we have counts for
14 papers
Topics in conformally compact Einstein metrics
Michael T. Anderson
We discuss a number of topics in the area of conformally compact Einstein metrics, mostly centered around the global existence question of finding such metrics with an arbitrarily…
On the structure of asymptotically de Sitter and anti-de Sitter spaces
Michael T. Anderson
We discuss several aspects of the relation between asymptotically AdS and asymptotically dS spacetimes including: the continuation between these types of spaces, the global stabili…
Einstein metrics on some exotic negatively curved manifolds
Michael T. Anderson
This paper was withdrawn by the author due to an error in the proof of the main result; essentially the parameter R used in the proof may depend on the manifold (M, g), not just on…
Asymptotic behavior of future-complete cosmological space-times
Michael T. Anderson
This work discusses the apriori possible asymptotic behavior to the future, for (vacuum) space-times which are geodesically complete to the future and which admit a foliation by co…
Dehn filling and Einstein metrics in higher dimensions
Michael T. Anderson
We prove that many features of Thurston's Dehn surgery theory for hyperbolic 3-manifolds generalize to Einstein metrics in any dimension. In particular, this gives large, infinite…
Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
Michael T. Anderson, Atsushi Katsuda, Yaroslav Kurylev +2
This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature b…