06-11 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Vitali Kapovitch, Anton Petrunin, Wilderich Tuschmann:Nilpotency, almost nonnegative curvature and the gradient pushWe 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
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