Concavity and rigidity in non-negative curvature
classification
🧮 math.DG
keywords
curvatureinvariantmetricnon-negativethereadmitalthoughanalytic
read the original abstract
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.
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