23 citations · 46 across the 8 of their papers we have counts for
10 papers · 1 filter
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…
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This paper was withdrawn by the author due to an error in the proof of the main result; essentially the parameter R used in the proof may depend on the manifold (M, g), not just on…
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…
On uniqueness and differentiability in the space of Yamabe metrics
Michael T. Anderson
We prove that generically (positive) Yamabe metrics are unique in their conformal class, and describe some sufficient conditions which imply that a Yamabe metric of locally maximal…
Scalar curvature and the existence of geometric structures on 3-manifolds, II
Michael T. Anderson
This is a continuation of a previous paper of same title. The degeneration, i.e. curvature blow-up, of sequences of metrics appoaching the Sigma constant, assumed non-positive, is…
Scalar curvature and the existence of geometric structures on 3-manifolds, I
Michael T. Anderson
This paper analyses the convergence and degeneration of sequences of metrics on a 3-manifold, and relations of such with Thurston's geometrization conjecture. The sequences are min…