Research profile

Chi Xu

Works on inverse mean curvature flow, rotational symmetry & warped products and long-time existence & convergence.

NP-RC-322904

5
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3
co-authors
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Inverse mean curvature flowRotational symmetry & warped productsLong-time existence & convergenceOther curvature flowsMean curvature flow

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Co-authors

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Frequent co-authors of Chi Xu Chi Xu in the centre and 3 co-authors around them, closer for more joint papers on this site. Xu Jing Mao: 1 joint workJMMao Li Chen: 1 joint workLCChen Ni Xiang: 1 joint workNXXiang
Closer to the centre: more joint work here. have also written together
  1. Jing Mao

    1 joint worklatest 2017

  2. Li Chen

    1 joint worklatest 2017

  3. Ni Xiang

    1 joint worklatest 2017

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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.

2017

math.DGWider flowsv3arXiv:1705.04865

Inverse mean curvature flow inside a cone in warped products

Li Chen, Jing Mao, Ni Xiang, Chi Xu

Given a convex cone in the prescribed warped product, we consider hypersurfaces with boundary which are star-shaped with respect to the center of the cone and which meet the cone perpendicularly. If those hypersurfaces inside the cone evolve along the inverse mean curvature flow, then, by using the convexity of the cone, we can prove that this evolution exists for all the time and the evolving hypersurfaces converge smoothly to a piece of round sphere as time tends to infinity.

Mean curvature flowOther curvature flowsInverse mean curvature flowLong-time existence & convergenceRotational symmetry & warped products
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NP-RC-322904 is Chi Xu'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.