K-stability of constant scalar curvature Kähler manifolds

Abstract

We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is K-stable. This refines the K-semistability proved by S. K. Donaldson.

14 pages

References in corpus (2)

• Geometry of Kähler Metrics and Foliations by Holomorphic Discs
• Stability of extremal Kähler manifolds

Cited by in corpus (1)

• Space of Kähler metrics (IV)--On the lower bound of the K-energy