Weierstrass representation for timelike minimal surfaces in Minkowski 3-space

zbMath1167.53011arXivmath/0608726MaRDI QIDQ1014082

Sungwook Lee

Publication date: 24 April 2009

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608726

zbMATH Keywords

minimal surfaceGauss mapworldsheetLorentz surfacetime-like surfacepara-quaternionWeierstrass representation formulaLorentz holomorphicsplit-quaternion

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (10)

Weierstrass representation for timelike surfaces in Minkowski 4-space ⋮ Blackfolds, plane waves and minimal surfaces ⋮ Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper's surface ⋮ Weierstrass Representation of Lightlike Surfaces in Lorentz-Minkowski 4-Space ⋮ Unnamed Item ⋮ On minimal lightlike surfaces in Minkowski space-time ⋮ A generalized Weierstrass representation of Lorentzian surfaces in ℝ2,2 and applications ⋮ Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space ⋮ Flat Lorentz surfaces in anti-de Sitter 3-space and Gravitational Instantons ⋮ Weierstrass representation for lightlike surfaces in Lorentz-Minkowski 3-space

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