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Ancient Solutions in Geometric Flows

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In this survey paper we discuss ancient solutions to different geometric flows, such as the Ricci flow, the mean curvature flow and the Yamabe flow. We survey the classification results… Click to show full abstract

In this survey paper we discuss ancient solutions to different geometric flows, such as the Ricci flow, the mean curvature flow and the Yamabe flow. We survey the classification results of ancient solutions in the Ricci flow and the mean curvature flow. We also discuss methods for constructing new ancient solutions to the Yamabe flow, indicating that the classification results for this flow are impossible to expect.

Keywords: geometric flows; ancient solutions; flow; solutions geometric

Journal Title: Notices of the American Mathematical Society
Year Published: 2020

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