Abstract
We develop a new approach to, and somewhat extend, results of Cheeger, Colding and Tian (Geom. Funct. Anal. 12 (2002) 873-914), which give restrictions on the singular sets that can arise as Gromov-Hausdorfflimits in the presence of integral bounds on the curvature. The foundation of this approach is provided by a rigidity result for flat singular spaces, which has independent interest.
| Original language | English |
|---|---|
| Article number | jtt037 |
| Pages (from-to) | 543-556 |
| Number of pages | 14 |
| Journal | Journal of Topology |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2014 |
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