Research profile

Siyi Zhang

Works on sphere theorems, 4-manifolds and Ricci flow.

NP-RC-069360

3
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2
co-authors
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Sphere theorems4-manifoldsRicci flow

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  1. Matthew Gursky

    1 joint worklatest 2018

  2. Sun-Yung Alice Chang

    1 joint worklatest 2018

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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.

2018

math.DGarXiv:1809.05918

A conformally invariant gap theorem characterizing via the Ricci flow

Sun-Yung A. Chang, Matthew Gursky, Siyi Zhang

We extend the sphere theorem of to give a conformally invariant characterization of . In particular, we introduce a conformal invariant defined on conformal four-manifolds satisfying a `positivity' condition; it follows from that if , then is diffeomorphic to . Our main result of this paper is a `gap' result showing that if and for small enough, then is diffeomorphic to . The Ricci flow is used in a crucial way to pass from the bounds on to pointwise curvature information.

Ricci flow4-manifoldsSphere theorems
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NP-RC-069360 is Siyi Zhang'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.