Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space

DOI10.1007/s00025-022-01718-0zbMath1497.53030arXiv2207.02450OpenAlexW4284890497MaRDI QIDQ2159708

Shintaro Akamine, Hiroki Fujino

Publication date: 2 August 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.02450

zbMATH Keywords

harmonic functionreflection principleisotropic spacezero mean curvature surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

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• Holomorphic representation of minimal surfaces in simply isotropic space
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• $d$-Minimal Surfaces in Three-Dimensional Singular Semi-Euclidean Space $\mathbb{R}^{0,2,1}$
• Dynamics in One Complex Variable. (AM-160)

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