On the Kahler-Ricci Flow on Projective Manifolds of General Type

Citation:

Gang TIAN,Zhou ZHANG.On the Kahler-Ricci Flow on Projective Manifolds of General Type[J].Chinese Annals of Mathematics B,2006,27(2):179~192
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Authors:

Gang TIAN; Zhou ZHANG

Foundation:

Partially supported by NSF grants and a Simons fund.
Abstract: This note concerns the global existence and convergence of the solution for Kahler-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.

Keywords:

Geometric evolution equations, Minimal model program

Classification:

53C44, 14E30
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