The continuity equation of almost Hermitian metrics

Chang Li; Tao Zheng

doi:10.1016/j.jde.2020.11.016

The continuity equation of almost Hermitian metrics

Chang Li, Tao Zheng^*

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

We extend the continuity equation of the Kähler metrics introduced by La Nave & Tian and the Hermitian metrics introduced by Sherman & Weinkove to the almost Hermitian metrics, and establish its interval of maximal existence. As an example, we study the continuity equation on the (locally) homogeneous manifolds in more detail.

源语言	英语
页（从-至）	1015-1036
页数	22
期刊	Journal of Differential Equations
卷	274
DOI	https://doi.org/10.1016/j.jde.2020.11.016
出版状态	已出版 - 15 2月 2021

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10.1016/j.jde.2020.11.016

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Li, C., & Zheng, T. (2021). The continuity equation of almost Hermitian metrics. Journal of Differential Equations, 274, 1015-1036. https://doi.org/10.1016/j.jde.2020.11.016

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title = "The continuity equation of almost Hermitian metrics",

abstract = "We extend the continuity equation of the K{\"a}hler metrics introduced by La Nave & Tian and the Hermitian metrics introduced by Sherman & Weinkove to the almost Hermitian metrics, and establish its interval of maximal existence. As an example, we study the continuity equation on the (locally) homogeneous manifolds in more detail.",

keywords = "Almost Hermitian metric, Chern scalar curvature, Chern-Ricci form, Continuity equation, Maximal time existence",

author = "Chang Li and Tao Zheng",

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AU - Zheng, Tao

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N2 - We extend the continuity equation of the Kähler metrics introduced by La Nave & Tian and the Hermitian metrics introduced by Sherman & Weinkove to the almost Hermitian metrics, and establish its interval of maximal existence. As an example, we study the continuity equation on the (locally) homogeneous manifolds in more detail.

AB - We extend the continuity equation of the Kähler metrics introduced by La Nave & Tian and the Hermitian metrics introduced by Sherman & Weinkove to the almost Hermitian metrics, and establish its interval of maximal existence. As an example, we study the continuity equation on the (locally) homogeneous manifolds in more detail.

KW - Almost Hermitian metric

KW - Chern scalar curvature

KW - Chern-Ricci form

KW - Continuity equation

KW - Maximal time existence

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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The continuity equation of almost Hermitian metrics

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