On constant mean curvature surfaces satisfying integrable boundary conditions

2024/12/06 by Martin Kilian, Kilian, Martin
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2412.05068

Abstract

We consider the local theory of constant mean curvature surfaces that satisfy one or two integrable boundary conditions and determine the corresponding potentials for the generalized Weierstrass representation.

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