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Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces

2018/09/14 by Earp, Ricardo Sa, Toubiana, Eric
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.05326

Abstract

We give a proof of the classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces in the homogeneous three manifolds E(κ, τ) for κ\leqslant 0 and τ\geqslant 0. In our previous paper we proved a reflection principle in Riemannian manifolds. The statements and techniques in the two papers are distinct.

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