Research profile

Yuchen Bi

Works on other curvature flows and singularities.

NP-RC-338184

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Other curvature flowsSingularities

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  1. Jiayu Li

    1 joint worklatest 2021

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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.APWider flowsarXiv:2106.03137

The Prescribed -Curvature Flow for Arbitrary Even Dimension in a Critical Case

Yuchen Bi, Jiayu Li

In this paper, we study the prescribed -curvature flow equation on a arbitrary even dimensional closed Riemannian manifold , which was introduced by S. Brendle in, where he proved the flow exists for long time and converges at infinity if the GJMS operator is weakly positive with trivial kernel and . In this paper we study the critical case that , we will prove the convergence of the flow under some geometric hypothesis. In particular, this gives a new proof of Li-Li-Liu's existence result in in dimensiona 4 and extend the work of Li-Zhu in dimension 2 to general even dimensions. In the proof, we give a explicit expression of the limit of the corresponding energy functional when the blow up occurs.

Other curvature flowsSingularities
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NP-RC-338184 is Yuchen Bi'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.

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