On the existence of constant scalar curvature Kähler metric: a new perspective

Abstract

In this paper, we report a "new" continuity path which links the constant scalar curvature equation to a second order elliptic equation. This is largely an expository article where we describes various aspects of geometry and analysis associated with path.

References in corpus (4)

• CM Stability and the Generalized Futaki Invariant I
• On deformation of extremal metrics
• Extremal Kähler metrics
• Approximation of weak geodesics and subharmonicity of Mabuchi energy

Cited by in corpus (5)

• On the constant scalar curvature Kähler metrics, existence results
• On the constant scalar curvature Kähler metrics, general automorphism group
• On the constant scalar curvature Kähler metrics, apriori estimates
• On deformation of extremal metrics
• The Calabi flow with rough initial data