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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| Published in | Communications on pure and applied mathematics Vol. 68; no. 7; pp. 1085 - 1156 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
New York
Blackwell Publishing Ltd
01.07.2015
John Wiley and Sons, Limited |
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| Online Access | Get full text |
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| 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. © 2015 Wiley Periodicals, Inc. |
|---|---|
| AbstractList | We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds. 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. 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. |
| Author | Tian, Gang |
| Author_xml | – sequence: 1 givenname: Gang surname: Tian fullname: Tian, Gang email: gtian@math.pku.edu.cn, tian@princeton.edu organization: Beijing University, 100871, 79 Jingchunyuan, Beijing, China |
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| Snippet | 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... 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... We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds. |
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| Title | K-Stability and Kähler-Einstein Metrics |
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