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^*

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1015-1036
Number of pages	22
Journal	Journal of Differential Equations
Volume	274
DOIs	https://doi.org/10.1016/j.jde.2020.11.016
Publication status	Published - 15 Feb 2021

Keywords

Almost Hermitian metric
Chern scalar curvature
Chern-Ricci form
Continuity equation
Maximal time existence

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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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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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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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VL - 274

SP - 1015

EP - 1036

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

The continuity equation of almost Hermitian metrics

Abstract

Keywords

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