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arXiv · 1705.09032

Seven dimensional cohomogeneity one manifolds with nonnegative curvature

Luigi Verdiani·Wolfgang Ziller
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Abstract

We show that a certain family of cohomogeneity one manifolds does not admit an invariant metric of nonnegative sectional curvature, unless it admits one with positive curvature. As a consequence, the classification of nonnegatively curved cohomogeneity one manifolds in dimension 7 is reduced to only one further family of candidates

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Luigi Verdiani, Wolfgang Ziller. 2017-05-25. Seven dimensional cohomogeneity one manifolds with nonnegative curvature. https://arxiv.org/abs/1705.09032

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