Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces

preprint2020arXivOpen access

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)E(κ, τ) for κ⩽0κ\leqslant 0 and τ⩾0τ\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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