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 seven is reduced to only one further family of candidates.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have