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Hyperbolic Geometry and Potential Theory on Minimal Hypersurfaces

2015/12/27 by Joachim Lohkamp, Lohkamp, Joachim
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1512.08251

openalex publication_date 2015/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the second in a series of papers where we estab- lish skin structural concepts and results for singular area minimizing hypersurfaces. Here we conformally unfold these spaces to complete Gromov hyperbolic spaces with bounded geometry and we recover their singular set as the Gromov boundary but also as the Martin boundary for many classical elliptic operators.

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