English

Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces

Differential Geometry 2020-02-13 v2

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(\kappa, \tau) for κ0\kappa \leqslant 0 and τ0\tau \geqslant 0. In our previous paper we proved a reflection principle in Riemannian manifolds. The statements and techniques in the two papers are distinct.

Keywords

Cite

@article{arxiv.1809.05326,
  title  = {Classical Schwarz Reflection Principle for Jenkins-Serrin Type Minimal Surfaces},
  author = {Ricardo Sa Earp and Eric Toubiana},
  journal= {arXiv preprint arXiv:1809.05326},
  year   = {2020}
}
R2 v1 2026-06-23T04:06:23.375Z