K-Stability and Kähler-Einstein Metrics

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. © 2015 Wiley Periodicals, Inc.

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Bibliographic Details
Published inCommunications on pure and applied mathematics Vol. 68; no. 7; pp. 1085 - 1156
Main Author Tian, Gang
Format Journal Article
LanguageEnglish
Published New York Blackwell Publishing Ltd 01.07.2015
John Wiley and Sons, Limited
Subjects
Mathematics
Matrix
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Summary: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. © 2015 Wiley Periodicals, Inc.
Bibliography:ark:/67375/WNG-5VZNQN9S-H
ArticleID:CPA21578
istex:56E57061997861A3694883E0DB48718B46AC9AB3
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.21578