高杜川度规的连续性方程

arXiv: Differential Geometry Pub Date : 2020-04-14 DOI:10.2140/PJM.2021.310.487

Taotao Zheng

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引用次数: 1

摘要

研究了Gauduchon度量的连续性方程，建立了其极大存在区间，推广了La Nave & Tian引入的Kahler度量对于Sherman & Weinkove引入的hermite度量的连续性方程。我们的方法是基于Szekelyhidi, Tosatti & Weinkove对Gauduchon猜想的解。

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The continuity equation of the Gauduchon metrics

We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kahler metrics introduced by La Nave \& Tian for and of the Hermitian metrics introduced by Sherman \& Weinkove. Our method is based on the solution to the Gauduchon conjecture by Szekelyhidi, Tosatti \& Weinkove.

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arXiv: Differential Geometry

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