Global geometry and topology of spacelike stationary surfaces in the 4-dimensional Lorentz space

DOI10.1016/j.aim.2013.09.013zbMath1288.53051arXiv1103.4700OpenAlexW2964220927MaRDI QIDQ2450801

Chang Ping Wang, Peng Wang, Xiang Ma

Publication date: 16 May 2014

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

Full work available at URL: https://arxiv.org/abs/1103.4700

zbMATH Keywords

minimal surfaceembeddingfinite total curvatureGauss mapWeierstrass representationstationary surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (10)

Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space ⋮ Holomorphic representation of minimal surfaces in simply isotropic space ⋮ Unnamed Item ⋮ On complete space-like stationary surfaces in 4-dimensional Minkowski space with graphical Gauss image ⋮ Unnamed Item ⋮ COMPLETE STATIONARY SURFACES IN ${\mathbb R}^4_1$ WITH TOTAL GAUSSIAN CURVATURE – ∫ KdM = 4π ⋮ Spacelike zero mean curvature surfaces in \({\mathbb{L}}^4\) ⋮ CHEN–GACKSTATTER TYPE SURFACES IN ${\mathbb R}_{1}^{4}$: DEFORMATION, SYMMETRY, AND THE PROBLEM OF EMBEDDEDNESS ⋮ Extension of Krust theorem and deformations of minimal surfaces ⋮ $d$-Minimal Surfaces in Three-Dimensional Singular Semi-Euclidean Space $\mathbb{R}^{0,2,1}$

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