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arxiv: 0801.2605 · v7 · submitted 2008-01-17 · 🧮 math.DG

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

classification 🧮 math.DG
keywords ahlerpositivequaternionancientflowmanifoldsriccisolutions
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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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