Communications on Pure and Applied Mathematics· 2015Q1
K‐Stability and Kähler‐Einstein Metrics
- 349citations
- Q1SCImago
- 2015year
Short summary
K-stability is proven to guarantee the existence of a Kähler-Einstein metric on Fano manifolds, affirming a major conjecture.
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Key points
- K-stability is shown to be a sufficient condition for the existence of a Kähler-Einstein metric.
- The result applies to Fano manifolds.
- This work affirms a longstanding conjecture in mathematics.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Communications on Pure and Applied Mathematics, 2015 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics