CHEN–GACKSTATTER TYPE SURFACES IN ${\mathbb R}_{1}^{4}$: DEFORMATION, SYMMETRY, AND THE PROBLEM OF EMBEDDEDNESS

DOI10.1142/S0129167X14500153zbMath1288.53056arXiv1212.6802MaRDI QIDQ5414184

Xiang Ma, Zhenxiao Xie

Publication date: 2 May 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6802

zbMATH Keywords

finite total curvatureminimal surfaceselliptic integralsperiod mappingstationary surfaces

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) Non-Euclidean differential geometry (53A35) Elliptic functions and integrals (33E05)

Related Items (1)

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Cites Work

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• Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Uniqueness, symmetry, and embeddedness of minimal surfaces
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• Complete minimal surfaces in \(\mathbb{R}^3\)
• Global geometry and topology of spacelike stationary surfaces in the 4-dimensional Lorentz space
• Symmetries of compact Riemann surfaces
• On embedded complete minimal surfaces of genus zero
• The classical theory of minimal surfaces
• Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms

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