Extremal metrics on toric surfaces, I

2006/12/05 by Simon Donaldson, Donaldson, S. K. · 2 citations
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0612120

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.

Citations

• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS

Cited by

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

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