Research profile

Tao Zheng

Works on generalized & G₂ flows, Kähler–Ricci flow and homogeneous spaces.

NP-RC-620449

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Generalized & G₂ flowsKähler–Ricci flowHomogeneous spacesKähler geometryRicci flow

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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.

2017

math.DGv3arXiv:1703.06295

An almost complex Chern-Ricci flow

Tao Zheng

We consider the evolution of an almost Hermitian metric by the part of its Chern-Ricci form on almost complex manifolds. This is an evolution equation first studied by Chu and coincides with the Chern-Ricci flow if the complex structure is integrable and with the Kähler-Ricci flow if moreover the initial metric is Kähler. We find the maximal existence time for the flow in term of the initial data and also give some convergence results. As an example, we study this flow on the (locally) homogeneous manifolds in more detail.

Ricci flowKähler–Ricci flowGeneralized & G₂ flowsKähler geometryHomogeneous spaces
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NP-RC-620449 is Tao Zheng'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.