Research profile

Eden Prywes

Works on Ricci flow.

NP-RC-032071

2
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Ricci flow

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  1. Paul Yang

    1 joint worklatest 2021

  2. Sun-Yung Alice Chang

    1 joint worklatest 2021

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2021

math.DGarXiv:2107.02785

Quasiconformal Flows on non-Conformally Flat Spheres

Sun-Yung Alice Chang, Eden Prywes, Paul Yang

We study integral curvature conditions for a Riemannian metric on that quantify the best bilipschitz constant between and the standard metric on . Our results show that the best bilipschitz constant is controlled by the -norm of the Weyl tensor and the -norm of the -curvature, under the conditions that those quantities are sufficiently small, has a positive Yamabe constant and the -curvature is mean-positive. The proof of the result is achieved in two steps. Firstly, we construct a quasiconformal map between two conformally related metrics in a positive Yamabe class. Secondly, we apply the Ricci flow to establish the bilipschitz equivalence from such a conformal class to the standard conformal class on .

Ricci flow
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NP-RC-032071 is Eden Prywes's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.