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Seven dimensional cohomogeneity one manifolds with nonnegative curvature
Published 25 May 2017 in math.DG | (1705.09032v2)
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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