The Kähler-Ricci flow with positive bisectional curvature

D. H. Phong; Jian Song; Jacob Sturm; Ben Weinkove

doi:10.1007/s00222-008-0134-x

The Kähler-Ricci flow with positive bisectional curvature

D. H. Phong, Jian Song, Jacob Sturm, Ben Weinkove^*

^*Corresponding author for this work

Mathematics

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

32 Scopus citations

Abstract

We show that the Kähler-Ricci flow on a manifold with positive first Chern class converges to a Kähler-Einstein metric assuming positive bisectional curvature and certain stability conditions.

Original language	English (US)
Pages (from-to)	651-665
Number of pages	15
Journal	Inventiones Mathematicae
Volume	173
Issue number	3
DOIs	https://doi.org/10.1007/s00222-008-0134-x
State	Published - Sep 2008

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Mathematics(all)

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title = "The K{\"a}hler-Ricci flow with positive bisectional curvature",

abstract = "We show that the K{\"a}hler-Ricci flow on a manifold with positive first Chern class converges to a K{\"a}hler-Einstein metric assuming positive bisectional curvature and certain stability conditions.",

author = "Phong, {D. H.} and Jian Song and Jacob Sturm and Ben Weinkove",

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AU - Phong, D. H.

AU - Song, Jian

AU - Sturm, Jacob

AU - Weinkove, Ben

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N2 - We show that the Kähler-Ricci flow on a manifold with positive first Chern class converges to a Kähler-Einstein metric assuming positive bisectional curvature and certain stability conditions.

AB - We show that the Kähler-Ricci flow on a manifold with positive first Chern class converges to a Kähler-Einstein metric assuming positive bisectional curvature and certain stability conditions.

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JF - Inventiones Mathematicae

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The Kähler-Ricci flow with positive bisectional curvature

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