Improved pseudolocality on large hyperbolic balls

Improved pseudolocality on large hyperbolic balls

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 exponent...

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Príomhchruthaitheoir: McLeod, AD
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: International Press 2023
Cur síos
Achoimre: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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