Stability of Kähler-Ricci flow

Xiuxiong Chen; Haozhao Li

doi:10.1007/s12220-009-9112-9

Stability of Kähler-Ricci flow

Xiuxiong Chen
, Haozhao Li

Mathematics

East China Normal University

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

8 Scopus citations

Abstract

We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold.

Original language	English
Pages (from-to)	306-334
Number of pages	29
Journal	Journal of Geometric Analysis
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/s12220-009-9112-9
State	Published - Apr 2010

Keywords

Kähler-Einstein metrics
Kähler-Ricci flow
Stability

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10.1007/s12220-009-9112-9

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title = "Stability of K{\"a}hler-Ricci flow",

abstract = "We prove the convergence of K{\"a}hler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of K{\"a}hler-Ricci flow when the complex structure varies on a K{\"a}hler-Einstein manifold.",

keywords = "K{\"a}hler-Einstein metrics, K{\"a}hler-Ricci flow, Stability",

author = "Xiuxiong Chen and Haozhao Li",

year = "2010",

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AU - Li, Haozhao

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N2 - We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold.

AB - We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold.

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KW - Kähler-Ricci flow

KW - Stability

UR - https://www.scopus.com/pages/publications/84867981286

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JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

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ER -

Stability of Kähler-Ricci flow

Abstract

Keywords

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