Topological obstructions to nonnegative curvature

Details Topological obstructions to nonnegative curvature Topological obstructions to nonnegative curvature

2000-01-24

arxiv.org/abs/math/0001125v1

Mathematics

Differential Geometry

25 pages

Scientific paper

We find new obstructions to the existence of complete Riemannian metric of
nonnegative sectional curvature on manifolds with infinite fundamental groups.
In particular, we construct many examples of vector bundles whose total spaces
admit no nonnegatively curved metric.

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