Calabi flow on projective bundles, I

2015/11/19 by Hongnian Huang, Huang, Hongnian
Mathematics · #53C44 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AP #math.DG #msc:53C44

paper · pdf · doi:10.48550/arxiv.1511.06290

arxiv created 2015/11/19 · openalex publication_date 2015/11/19 · arxiv updated 2015/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain several a-priori estimates for the Calabi flow on projective bundles admitting the generalized Calabi constructions.

Citations

• Interior estimates for solutions of Abreu's equation
• The interior regularity of the Calabi flow on a toric surface
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS

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• Combinatorial p-th Calabi flows on surfaces
• About the Calabi problem: a finite dimensional approach
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• Combinatorial p-th Calabi flow for finite and infinite ideal circle patterns