Research profile

Hongnian Huang

Works on Kähler–Einstein & K-stability, other curvature flows and Kähler geometry.

NP-RC-821824

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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.

2016

math.DGWider flowsarXiv:1609.01834

On the extension and smoothing of the Calabi flow on complex tori

Hongnian Huang

In this paper, we continue to study the Calabi flow on complex tori. We develop a new method to obtain an explicit bound of the curvature of the Calabi flow. As an application, we show that when , the Calabi flow starting from a weak Kähler metric will become smooth immediately. It implies that in our settings, the weak minimizer of the Mabuchi energy is a smooth one.

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