Orbifold fibrations of Eschenburg spaces

Wolfgang Ziller | Florit, Luis A.

Keywords: circle fibrations | positive sectional curvature | Eschenburg spaces | orbifolds

The purpose of this paper is to study all isometric circle actions on Eschenburg manifolds (and more generally orbifolds) which act almost freely, i.e., their isotropy groups are finite, and thus give rise to principal orbifold bundle structures. One easily sees that they all indeed admit such actions and we will examine in detail their geometric properties. In particular, we obtain a large new family of 6-dimensional orbifolds with positive sectional curvature and with small singular locus.

Anexos:

• eschenburg_orbi.pdf