Extremal metrics on toric surfaces, I

Abstract

The paper develops a continiuty method for solutions of the Abreu equation, which include extremal metrics on toric surfaces. Results are obtained, assuming a hypothesis (the "M-condition") on the solutions.

Cited by in corpus (2)

• Lectures on Stability and Constant Scalar Curvature
• Moduli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds