Nilpotency, Almost Nonnegative Curvature, and the Gradient Flow on Alexandrov Spaces
نویسنده
چکیده
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.
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