Geodesic
On the topology of positively curved Bazaikin spaces
Journal of the European Mathematical Society, Tome 11 (2009) no. 1, pp. 189-205 Cet article a éte moissonné depuis la source EMS Press

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In this note we study the topology of the positively curved Bazaikin spaces. We show that the only Bazaikin space that is homotopically equivalent to a homogeneous space is the Berger space. Moreover, we compute their Pontryagin classes and linking form to conclude that there is no pair of positively curved Bazaikin spaces which are homeomorphic, at least if the order of the sixth cohomology group with integer coefficients is less than 108.
DOI : 10.4171/jems/146
Classification : 53-XX, 00-XX
Keywords: Positive curvature, Bazaikin spaces 
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     author = {Luis A. Florit and Wolfgang Ziller},
     title = {On the topology of positively curved {Bazaikin} spaces},
     journal = {Journal of the European Mathematical Society},
     pages = {189--205},
     year = {2009},
     volume = {11},
     number = {1},
     doi = {10.4171/jems/146},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/146/}
}
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Luis A. Florit; Wolfgang Ziller. On the topology of positively curved Bazaikin spaces. Journal of the European Mathematical Society, Tome 11 (2009) no. 1, pp. 189-205. doi: 10.4171/jems/146

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