Topological properties of Eschenburg spaces and 3-Sasakian manifolds

• Autores: Ted Chinburg, Christine Escher, Wolfgang Ziller
• Localización: Mathematische Annalen, ISSN 0025-5831, Vol. 339, Nº. 1, 2007, págs. 3-20
• Idioma: inglés
• DOI: 10.1007/s00208-007-0102-6
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• Resumen

  • 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.