From G₂ geometry to quaternionic Kähler metrics

Olivier Biquard (1, 2)

1 UPMC - Université Pierre et Marie Curie - Paris 6
2 DMA - Département de Mathématiques et Applications - ENS Paris

We review a construction of quaternionic Kähler metrics starting from a rank 2 distribution in 5 dimensions. We relate it to a more general theory about Einstein deformations of symmetric metrics. Finally we ask some questions on complete metrics and relate them to a Zoll phenomenon.

Domaines: Géométrie différentielle [math.DG]

Olivier Biquard. From G₂ geometry to quaternionic Kähler metrics. Journal of Geometry and Physics, 2015, 91, pp.101-107. ⟨10.1016/j.geomphys.2015.02.002⟩. ⟨hal-02928848⟩