Coupled Kähler-Einstein Metrics
Journal article, 2018

We propose new types of canonical metrics on Kähler manifolds, called coupled Kähler–Einstein metrics, generalizing Kähler–Einstein metrics. We prove existence and uniqueness results in the cases when the canonical bundle is ample and when the manifold is Kähler–Einstein Fano. In the Fano case, we also prove that existence of coupled Kähler–Einstein metrics imply a certain algebraic stability condition, generalizing K-polystability.

Monge-Ampère equations

Kähler manifolds

Canonical metrics

Author

Jakob Hultgren

Chalmers, Mathematical Sciences, Algebra and geometry

David Witt Nyström

Chalmers, Mathematical Sciences, Algebra and geometry

International Mathematics Research Notices

1073-7928 (ISSN) 1687-0247 (eISSN)

Roots

Basic sciences

Subject Categories

Geometry

DOI

10.1093/imrn/rnx298

More information

Created

8/31/2018