Ricci flow unstable cell centered at an Einstein metric on the twistor space of positive quaternion Kähler manifolds of dimension $\ge 8$

Abstract

We show that a 1-parameter family Ricci flow ancient solutions arises from the natural collapsings of the twistor space of positive quaternion Kähler manifolds. We use these ancient solutions to show that a positive quaternion Kähler manifold is isometric to one of the Wolf spaces.

52 pages

References in corpus (1)

• Moving frames on the twistor space of self-dual positive Einstein 4-manifolds

Cited by in corpus (1)

• Moving frames on the twistor space of self-dual positive Einstein 4-manifolds