Affine techniques on extremal metrics on toric surfaces
Bohui Chen, An-Min Li, Li Sheng
TL;DR
This paper applies affine geometric methods to analyze the Abreu equation on toric surfaces, providing new interior Ricci tensor estimates to advance understanding of extremal metrics.
Contribution
It introduces affine techniques to study extremal metrics on toric surfaces and establishes an interior Ricci tensor estimate.
Findings
Interior Ricci tensor estimate established
Affine methods effectively analyze the Abreu equation
Enhanced understanding of extremal metrics on toric surfaces
Abstract
This paper consists of real and complex affine techniques for studying the Abreu equation on toric surfaces. In particular, an interior estimate for Ricci tensor is given.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics