K-Stability and Kähler-Einstein Metrics

Gang Tian

doi:10.1002/cpa.21578

K-Stability and Kähler-Einstein Metrics

Gang Tian

Mathematics

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

213 Scopus citations

Abstract

We prove that if a Fano manifold M is K-stable, then it admits a Kähler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.

Original language	English (US)
Pages (from-to)	1085-1156
Number of pages	72
Journal	Communications on Pure and Applied Mathematics
Volume	68
Issue number	7
DOIs	https://doi.org/10.1002/cpa.21578
State	Published - Jul 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/cpa.21578

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abstract = "We prove that if a Fano manifold M is K-stable, then it admits a K{\"a}hler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.",

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K-Stability and Kähler-Einstein Metrics

Abstract

All Science Journal Classification (ASJC) codes

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