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Classical Schwarz reflection principle for Jenkins–Serrin type minimal surfaces
Annals of Global Analysis and Geometry ( IF 0.6 ) Pub Date : 2020-02-13 , DOI: 10.1007/s10455-020-09704-x
Ricardo Sa Earp , Eric Toubiana

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

中文翻译:

Jenkins-Serrin 型极小曲面的经典 Schwarz 反射原理

我们给出了 Jenkins-Serrin 型最小曲面在齐次三个流形中的经典 Schwarz 反射原理的证明 $$\mathbb E(\kappa ,\tau )$$ E ( κ , τ ) for $$\kappa \leqslant 0 $$ κ ⩽ 0 和 $$\tau \geqslant 0$$ τ ⩾ 0 。在我们之前的论文中,我们证明了黎曼流形中的反射原理。两篇论文中的陈述和技术是不同的。
更新日期:2020-02-13
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