Abstract
We show that almost nonnegatively curved m-manifolds are, up to finite cover, nilpotent spaces in the sense of homotopy theory and have C(m)-nilpotent fundamental groups. We also show that up to a finite cover almost nonnegatively curved manifolds are fiber bundles with simply connected fibers over nilmanifolds.
Original language | English (US) |
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Pages (from-to) | 343-373 |
Number of pages | 31 |
Journal | Annals of Mathematics |
Volume | 171 |
Issue number | 1 |
DOIs | |
State | Published - 2010 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty