Geometric formality of homogeneous spaces and of biquotients

Abstract

We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal. We also extend the known obstructions to geometric formality to some new classes of homogeneous spaces and of biquotients, and to certain sphere bundles.

15 pages

References in corpus (2)

• Chern numbers and the geometry of partial flag manifolds
• Lifting Group Actions and Nonnegative Curvature

Cited by in corpus (6)

• The Dimensional Reduction and Kähler Metric of Forms In Flux and Warping
• Geometric formalities along the Chern-Ricci flow
• Remarks on the product of harmonic forms
• Non-formal Homogeneous Spaces
• Geometrically formal homogeneous metrics of positive curvature
• de Rham theory and cocycles of cubical sets from smooth quandles