Stability of Kähler-Ricci Flow

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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Bibliographische Detailangaben
Veröffentlicht in:	The Journal of geometric analysis 2010-04, Vol.20 (2), p.306-334
Hauptverfasser:	Chen, Xiuxiong, Li, Haozhao
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics
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Beschreibung
Zusammenfassung:	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.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-009-9112-9