Vitali Kapovitch, Anton Petrunin, Wilderich Tuschmann:

Nilpotency, almost nonnegative curvature and the gradient push

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.

Mathematics Subject Classification (1991): 53C20

Bibliographical note: eingereicht bei den Annals of Math.

Keywords: nonnegative curvature, nilpotent

Mail an Jens Burmeister

[Thu Feb 19 18:56:37 2009]

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