Research profile

Paul Yang

Works on Ricci flow.

NP-RC-447739

2
co-authors
RSS

Elsewhere arXiv listing

From the tags on their papers

Research focus

The topics of these papers. Tags are assigned automatically, so they point to a subject rather than judge the work.

Ricci flow

Who they write with

Co-authors

The people they have written with on this site.

  1. Eden Prywes

    1 joint worklatest 2021

  2. Sun-Yung Alice Chang

    1 joint worklatest 2021

Newest first

Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

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
View paper Connections

This number in this community

About this page

Is this your page?

It is yours to shape. Send anything that should be added or corrected: your preferred spelling, an ORCID, a homepage, a line about your work. Or ask for the page to be removed. Someone reads every message. Mention NP-RC-447739 so it reaches the right page.

Add or correct informationAdd an ORCIDTools for this page

What this page covers

NP-RC-447739 is Paul Yang'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.