A Weierstrass type representation for minimal surfaces in Sol

2006/09/26 by Jun-ichi Inoguchı, Jun-ichi Inoguchi, Inoguchi, Jun-ichi +2
Mathematics · #53A10 #53C15 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications #Point processes and geometric inequalities #math.DG #msc:53A10 #msc:53C15 #msc:53C30

paper · pdf · doi:10.48550/arxiv.math/0609722

arxiv created 2006/09/26 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The normal Gauss map of a minimal surface in the model space Sol of solvegeometry is a harmonic map with respect to a certain singular Riemannian metric on the extended complex plane.

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