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arXiv:math/0210231 [math.DG]AbstractReferencesReviewsResources

Biquotients with singly generated rational cohomology

Vitali Kapovitch, Wolfgang Ziller

Published 2002-10-16, updated 2017-06-26Version 2

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.

Comments: A missing homogeneous example added in Theorem A, as was pointed out by Jason DeVito
Journal: Geometriae Dedicata, 104 (1), pp 149--160, 2004
Categories: math.DG, math.AT
Subjects: 53C20
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