Research profile

Changyu Ren

Works on physics, self-shrinkers & translators and other curvature flows.

NP-RC-627071

4
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2
co-authors
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PhysicsSelf-shrinkers & translatorsOther curvature flowsStability & uniqueness

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  1. Ling Xiao

    1 joint worklatest 2020

  2. Zhizhang Wang

    1 joint worklatest 2020

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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.

2020

math.DGWider flowsarXiv:2007.04493

The prescribed curvature problem for entire hypersurfaces in Minkowski space

Changyu Ren, Zhizhang Wang, Ling Xiao

We prove three results in this paper. First, we prove for a wide class of functions and there exists a unique, entire, strictly convex, spacelike hypersurface satisfying and as Second, when we show the existence and uniqueness of entire, -convex, spacelike hypersurface satisfying and as Last, we obtain the existence and uniqueness of entire, strictly convex, downward translating solitons with prescribed asymptotic behavior at infinity for curvature flow equations. Moreover, we prove that the downward translating solitons have bounded principal curvatures.

Other curvature flowsSelf-shrinkers & translatorsStability & uniquenessPhysics
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NP-RC-627071 is Changyu Ren'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.