Abstract
We study the structure of noncollapsed Gromov-Hausdorff limits of sequences, Min, of riemannian manifolds with special holonomy. We show that these spaces are smooth manifolds with special holonomy off a closed subset of codimension ≥4. Additional results on the the detailed structure of the singular set support our main conjecture that if the M in are compact and a certain characteristic number, C(Min), is bounded independent of i, then the singularities are of orbifold type off a subset of real codimension at least 6.
Original language | English (US) |
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Pages (from-to) | 391-417 |
Number of pages | 27 |
Journal | Communications In Mathematical Physics |
Volume | 255 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2005 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics