Resumen de Topological properties of Eschenburg spaces and 3-Sasakian manifolds

Ted Chinburg, Christine Escher, Wolfgang Ziller

• We examine topological properties of the seven-dimensional positively curved Eschenburg biquotients and find many examples which are homeomorphic but not diffeomorphic. A special subfamily of these manifolds also carries a 3-Sasakian metric. Among these we construct a pair of 3-Sasakian spaces which are diffeomorphic to each other, thus giving rise to the first example of a manifold which carries two non-isometric 3-Sasakian metrics.