Biquotients with singly generated rational cohomology

Abstract

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.

A missing homogeneous example added in Theorem A, as was pointed out by Jason DeVito

Cited by in corpus (2)

• Infinite families of manifolds of positive $k^{\mathrm{th}}$-intermediate Ricci curvature with $k$ small
• Cheeger manifolds and the classification of biquotients