67 citations · 155 across the 26 of their papers we have counts for
4 papers · 2 filters
Orbifold fibrations of Eschenburg spaces
Luis Florit, Wolfgang Ziller
We study isometric circle actions on 7 dimensional positively curved Eschenburg spaces which are almost free, thus giving rise to orbifold fibrations of these spaces. This shows in…
Symmetries of Eschenburg spaces and the Chern problem
Karsten Grove, Krishnan Shankar, Wolfgang Ziller
The known manifolds of positive sectional curvature are either homogeneous spaces or biquotients, i.e. quotients of a compact Lie group by a group acting on the left and right simu…
On the topology of positively curved Bazaikin spaces
Luis A. Florit, Wolfgang Ziller
We study the topology of the 13 dimensional positively curved Bazaikin spaces. We show that there is only one such manifold which is homotopy equivalent to a homogeneous space, the…
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres
K. Grove, B. Wilking, L. Verdiani +1
In contrast to the homogeneous case, we show that there are compact cohomogeneity one manifolds, that do not support invariant metrics of non-negative sectional curvature. In fact…