Weak limit of an immersed surface sequence with bounded Willmore functional

2011/09/07 by Yuxiang Li, Li, Yuxiang · 2 citations
Mathematics · #35J35 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1109.1472

openalex publication_date 2011/09/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We will study the blowup behavior of a surface sequence immersed in R² with bounded Willmore functional and fixed genus.

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• Complete Willmore surfaces in H3 with bounded energy: boundary\n regularity and bubbling
• John-Nirenberg Radius and Collapse in Conformal Geometry

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