Javascript must be enabled

# Aaron Naber : Orbifold Regularity of Collapsed Spaces and applications to Einstein Manifolds.

Let (M_i,g_i) be a sequence of Riemannian n-manifolds with uniformly bounded curvature such that (M_i,g_i)->(X,d), a metric space, in the Gromov Hausdorff sense. Then we show that there is a closed subset S of X with codimension at least 3 and dimension at most n-5 such that X-S is a Riemannian Orbifold. We use this and an \epsilon-regularity theorem to show that metric spaces in the closure of the moduli space of Einstein 4-manifolds are Riemannian Orbifolds away from a finite number of points. This is joint with G. Tian.

**Category**: Geometry and Topology**Duration**: 01:34:57**Date**: October 14, 2008 at 2:55 PM**Views**: 151-
**Tags:**seminar, Geometry/topology Seminar

## 0 Comments