The classification of compact simply connected biquotients in dimension 4 and 5

Abstract

We classify all compact simply connected biquotients of dimension 4 and 5. In particular, all pairs of groups $(G,H)$ and embeddings $H\to G\times G$ giving rise to a particular biquotient are classified.

arXiv commentSlight corrections to Prop. 2.3 and 2.4. To appear in Differential Geometry and Applications

References in corpus (3)

• Some new examples with almost positive curvature
• Examples of Riemannian manifolds with positive curvature almost everywhere
• On the curvature of biquotients

Cited by in corpus (4)

• The classification of compact simply connected biquotients in dimension 6 and 7
• Open manifolds with non-homeomorphic positively curved souls
• Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions
• The classification of $SU(2{)}^2$ biquotients of rank $3$ Lie groups