Moduli spaces of nonnegative sectional curvature and non-unique souls

Details Moduli spaces of nonnegative sectional curvature and non-unique souls Moduli spaces of nonnegative sectional curvature and non-unique souls

2009-12-24

arxiv.org/abs/0912.4869v2

Mathematics

Differential Geometry

Proposition 3.8 corrected, editorial changes, to appear in J. Differential Geom

Scientific paper

We apply various topological methods to distinguish connected components of
moduli spaces of complete Riemannian metrics of nonnegative sectional curvature
on open manifolds. The new geometric ingredient is that souls of nearby
nonnegatively curved metrics are ambiently isotopic.

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