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

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

2008-01-17

arxiv.org/abs/0801.2605v7

Mathematics

Differential Geometry

52 pages

Scientific paper

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

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