A continuity method to construct canonical metrics

Abstract

We introduce a new continuity method which provides an alternative way of carrying out the Analytic Minimal Model Program introduced by G. Tian and J. Song and G. Tian. This equation -- unlike the Ricci flow -- has the advantage of having Ricci curvature bounded from below along the deformation, so that the compactness theory of Cheeger-Colding-Tian for Kaehler manifolds and the partial $C^0$-estimate, can be applied.

References in corpus (2)

• Riemannian geometry of Kahler-Einstein currents
• Geometry and nonlinear analysis

Cited by in corpus (3)

• Bounding diameter of singular Kähler metric
• Bounding diameter of conical Kahler metric
• The continuity equation with cusp singularities