On the Kähler-Ricci flow on projective manifolds of general type

Gang Tian; Zhou Zhang

doi:10.1007/s11401-005-0533-x

On the Kähler-Ricci flow on projective manifolds of general type

Gang Tian, Zhou Zhang

Mathematics

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

159 Scopus citations

Abstract

This note concerns the global existence and convergence of the solution for Kähler-Ricci flow equation when the canonical class, K_X, is numerically effective and big. We clarify some known results regarding this flow on projective manifolds of general type and also show some new observations and refined results.

Original language	English (US)
Pages (from-to)	179-192
Number of pages	14
Journal	Chinese Annals of Mathematics. Series B
Volume	27
Issue number	2
DOIs	https://doi.org/10.1007/s11401-005-0533-x
State	Published - Apr 2006

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

Keywords

Geometric evolution equations
Minimal model program

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10.1007/s11401-005-0533-x

Cite this

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title = "On the K{\"a}hler-Ricci flow on projective manifolds of general type",

abstract = "This note concerns the global existence and convergence of the solution for K{\"a}hler-Ricci flow equation when the canonical class, KX, is numerically effective and big. We clarify some known results regarding this flow on projective manifolds of general type and also show some new observations and refined results.",

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AB - This note concerns the global existence and convergence of the solution for Kähler-Ricci flow equation when the canonical class, KX, is numerically effective and big. We clarify some known results regarding this flow on projective manifolds of general type and also show some new observations and refined results.

KW - Geometric evolution equations

KW - Minimal model program

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JO - Chinese Annals of Mathematics. Series B

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On the Kähler-Ricci flow on projective manifolds of general type

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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