Mathematics – Differential Geometry
Scientific paper
2010-12-10
Mathematics
Differential Geometry
Scientific paper
This is a significantly improved version with new applications. We show that
there are many cohomogeneity one manifolds which do not admit an analytic
invariant metric with non-negative sectional curvature, although they do have a
smooth one. In particular, there are no invariant metric with positive
curvature.
Verdiani Luigi
Ziller Wolfgang
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