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arXiv · 0801.2605

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

Ryoichi Kobayashi
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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.

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Ryoichi Kobayashi. 2008-10-14. Ricci flow unstable cell centered at an Einstein metric on the twistor space of positive quaternion Kähler manifolds of dimension $\geq 8$. https://arxiv.org/abs/0801.2605

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