Nilpotency, Almost Nonnegative Curvature and the Gradient Push

Details Nilpotency, Almost Nonnegative Curvature and the Gradient Push Nilpotency, Almost Nonnegative Curvature and the Gradient Push

2005-06-14

arxiv.org/abs/math/0506273v4

Mathematics

Differential Geometry

Corrected a minor mistake in the proof of Theorem 4.1

Scientific paper

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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