Flot de Ricci sur les variétés kählériennes

Xiuxiong Chen; Gang Tian

doi:10.1016/S0764-4442(00)01719-5

Flot de Ricci sur les variétés kählériennes

Translated title of the contribution: Ricci flow on Kähler manifolds

Xiuxiong Chen, Gang Tian

Mathematics

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

5 Scopus citations

Abstract

In this Note, we announce the result that if M is a Kähler-Einstein manifold with positive scalar curvature, if the initial metric has nonnegative bisectional curvature, and the curvature is positive somewhere, then the Kähler-Ricci flow converges to a Kähler-Einstein metric with constant bisectional curvature.

Translated title of the contribution	Ricci flow on Kähler manifolds
Original language	French
Pages (from-to)	245-248
Number of pages	4
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	3
DOIs	https://doi.org/10.1016/S0764-4442(00)01719-5
State	Published - Feb 1 2001

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/S0764-4442(00)01719-5

Cite this

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title = "Flot de Ricci sur les vari{\'e}t{\'e}s k{\"a}hl{\'e}riennes",

abstract = "In this Note, we announce the result that if M is a K{\"a}hler-Einstein manifold with positive scalar curvature, if the initial metric has nonnegative bisectional curvature, and the curvature is positive somewhere, then the K{\"a}hler-Ricci flow converges to a K{\"a}hler-Einstein metric with constant bisectional curvature.",

author = "Xiuxiong Chen and Gang Tian",

year = "2001",

month = feb,

day = "1",

doi = "10.1016/S0764-4442(00)01719-5",

language = "French",

volume = "332",

pages = "245--248",

journal = "Comptes Rendus Mathematique",

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publisher = "Elsevier Masson",

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AU - Chen, Xiuxiong

AU - Tian, Gang

PY - 2001/2/1

Y1 - 2001/2/1

N2 - In this Note, we announce the result that if M is a Kähler-Einstein manifold with positive scalar curvature, if the initial metric has nonnegative bisectional curvature, and the curvature is positive somewhere, then the Kähler-Ricci flow converges to a Kähler-Einstein metric with constant bisectional curvature.

AB - In this Note, we announce the result that if M is a Kähler-Einstein manifold with positive scalar curvature, if the initial metric has nonnegative bisectional curvature, and the curvature is positive somewhere, then the Kähler-Ricci flow converges to a Kähler-Einstein metric with constant bisectional curvature.

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U2 - 10.1016/S0764-4442(00)01719-5

DO - 10.1016/S0764-4442(00)01719-5

M3 - Article

AN - SCOPUS:18044392363

SN - 1631-073X

VL - 332

SP - 245

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 3

ER -

Flot de Ricci sur les variétés kählériennes

Abstract

All Science Journal Classification (ASJC) codes

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