English

Dehn filling and Einstein metrics in higher dimensions

Differential Geometry 2007-05-23 v5 General Relativity and Quantum Cosmology

Abstract

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 families of new Einstein metrics on compact manifolds.

Keywords

Cite

@article{arxiv.math/0303260,
  title  = {Dehn filling and Einstein metrics in higher dimensions},
  author = {Michael T. Anderson},
  journal= {arXiv preprint arXiv:math/0303260},
  year   = {2007}
}

Comments

29pp. Original result (from v1) restored

R2 v1 2026-07-22T16:52:54.215Z