Relative K-stability of extremal metrics

Abstract

We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.

10 pages

References in corpus (5)

• Hamiltonian 2-forms in Kahler geometry, III Extremal metrics and stability
• Extremal metrics on blow ups
• Lectures on Stability and Constant Scalar Curvature
• A stronger concept of K-stability
• CM-stability of blow-ups and canonical metrics

Cited by in corpus (5)

• Extremal Kähler metrics on projective bundles over a curve
• Uniform K-stability for extremal metrics on toric varieties
• On blowing up extremal Kähler manifolds
• Kähler Ricci flow with vanished Futaki invariant
• The complex Monge-Ampere equation on compact Kaehler manifolds