descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Sep 2009Embargo end date: 01 Jan 2008 English Publisher:Springer Science and Business Media LLCJournal:Journal of Geometric Analysis, volume 20, pages 306-334 (issn: 1050-6926, eissn: 1559-002X,

Authors: Chen, Xiuxiong; Li, Haozhao;

doi: 10.1007/s12220-009-9112-9 , 10.48550/arxiv.0801.3086

arXiv: 0801.3086

Stability of Kähler-Ricci Flow

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Abstract

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

29 pages, final version, to appear in Journal of Geometric Analysis

Related Organizations

University of Wisconsin–Madison
United States
University of Wisconsin–Oshkosh
United States
University of Wisconsin System
United States
UNIVERSITY OF WISCONSIN-MADISON
United States
East China Normal University
China (People's Republic of)

Keywords

Mathematics - Differential Geometry, Kähler-Einstein manifolds, Global differential geometry of Hermitian and Kählerian manifolds, stability, 53C44, Kähler-Einstein metrics, Kähler-Ricci flow, Mathematics - Analysis of PDEs, 32Q20, Differential Geometry (math.DG), FOS: Mathematics, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), 53C44;32Q20, Analysis of PDEs (math.AP)

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