Ricci flow unstable cell centered at an Einstein metric on the twistor space of positive quaternion Kähler manifolds of dimension $\geq 8$
Abstract
Description
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
52 pages