Geometriae Dedicata

, Volume 104, Issue 1, pp 149–160

Biquotients with Singly Generated Rational Cohomology

  • Vitali Kapovitch
  • Wolfgang Ziller

DOI: 10.1023/B:GEOM.0000022860.89824.2f

Cite this article as:
Kapovitch, V. & Ziller, W. Geometriae Dedicata (2004) 104: 149. doi:10.1023/B:GEOM.0000022860.89824.2f


We classify all biquotients whose rational cohomology rings are generated by one element. As a consequence we show that the Gromoll–Meyer 7-sphere is the only exotic sphere which can be written as a biquotient.

biquotientsrational cohomologydiffeomorphism classification

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Vitali Kapovitch
    • 1
  • Wolfgang Ziller
    • 2
  1. 1.University of CaliforniaSanta BarbaraU.S.A
  2. 2.University of PennsylvaniaPhiladelphiaU.S.A