K-Stability and Kähler-Einstein Metrics

• Published in: Communications on pure and applied mathematics Vol. 68; no. 7; pp. 1085 - 1156
• Main Author: Tian, Gang
• Format: Journal Article
• Language: English
• Published: New York Blackwell Publishing Ltd 01.07.2015; John Wiley and Sons, Limited
• Subjects: Mathematics; Matrix

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.