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arXiv · 1811.02559

Ancient solutions to the Ricci flow in dimension 3

S. Brendle
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Abstract

It is known from work of Perelman that any finite-time singularity of the Ricci flow on a compact three-manifold is modeled on an ancient $\kappa$-solution. We prove that the every noncompact ancient $\kappa$-solution in dimension $3$ is isometric to either the shrinking cylinders (or a quotient thereof), or the Bryant soliton.

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S. Brendle. 2018-11-06. Ancient solutions to the Ricci flow in dimension 3. https://arxiv.org/abs/1811.02559

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