Seven dimensional cohomogeneity one manifolds with nonnegative curvature
Differential Geometry
2018-04-20 v2
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
Keywords
Cite
@article{arxiv.1705.09032,
title = {Seven dimensional cohomogeneity one manifolds with nonnegative curvature},
author = {Luigi Verdiani and Wolfgang Ziller},
journal= {arXiv preprint arXiv:1705.09032},
year = {2018}
}
Comments
minor improvements. To appear in Mathematische Annalen