Dynamical construction of Kähler-Einstein metrics on bounded pseudoconvex domains

Abstract

In this note we shall prove that the complete Kähler-Einstein volume form on a bounded strongly pseudoconvex domain with $C^{\infty }$-boundary is the normalized limit of a sequence of Bergman kernels.

9 pages, no figures

Cited by in corpus (1)

• Subharmonicity of the variations of Kähler-Einstein metrics on pseudoconvex domains