In the large coupling regime of the 5-dimensional Einstein–Maxwell–Chern–Simons theory, charged and rotating cohomogeneity-1 black holes form sequences of extremal and non-extremal radially excited configurations. These asymptotically global Anti-de Sitter (AdS5) black holes form a discrete set of solutions, characterised by the vanishing of the total angular momenta, or the horizon angular vel...

Abstract In this paper we study the rotationally invariant harmonic cohomology of a two-parameter family Einstein metrics g which admits cohomogeneity one action SU (2) × U (1) and has AdS asymptotics. Depending on values parameters, is either NUT type, if fixed-point locus zero-dimensional, or bolt it two-dimensional. We find that type then space (2)-invariant two-forms three-dimensional consi...

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of nonnegatively curved manifolds which contain either a point or an open dense set of points at which all 2-planes have positive curvature. We study infinite families of biquotients defined by Eschenburg and Bazaikin from this viewpoint, together with torus quotients of S × S....