Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces

Abstract

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