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arXiv · 1807.09005

Improved Pseudolocality on Large Hyperbolic Balls

Andrew D. McLeod
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Abstract

We obtain an improved pseudolocality result for Ricci flows on two-dimensional surfaces that are initially almost-hyperbolic on large hyperbolic balls. We prove that, at the central point of the hyperbolic ball, the Gauss curvature remains close to the hyperbolic value for a time that grows exponentially in the radius of the ball. This two-dimensional result allows us to precisely conjecture how the phenomenon should appear in the higher dimensional setting.

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Andrew D. McLeod. 2018-07-24. Improved Pseudolocality on Large Hyperbolic Balls. https://arxiv.org/abs/1807.09005

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