Timelike surfaces in Lorentz 3-space with prescribed mean curvature and Gauss map

DOI10.14492/hokmj/1381413979zbMath0753.53039OpenAlexW2076518898MaRDI QIDQ1185399

Martin A. Magid

Publication date: 28 June 1992

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381413979

zbMATH Keywords

Weierstrass representationtimelike minimal surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Weierstrass representation for timelike surfaces in Minkowski 4-space ⋮ Timelike minimal surfaces in the three-dimensional Heisenberg group ⋮ Henneberg's algebraic surfaces in Minkowski 3-space ⋮ The Björling problem for timelike minimal surfaces in \({\mathbb {R}}^{4}_{1}\) ⋮ Lorentz-conformal transformations in the plane ⋮ Generalized Weierstrass-Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation ⋮ The Björling problem for timelike surfaces in \(\mathbb R_2^4\) ⋮ Spinorial representation of submanifolds in \(\mathrm{SL}_n(\mathbb{C})/\mathrm{SU}(n)\) ⋮ Weierstrass Representation of Lightlike Surfaces in Lorentz-Minkowski 4-Space ⋮ Björling problem for timelike surfaces in the Lorentz-Minkowski space ⋮ Surfaces of prescribed mean curvature vector in semi-Riemannian manifolds ⋮ Unnamed Item ⋮ CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE ⋮ Timelike Thomsen surfaces ⋮ Timelike minimal surfaces via loop groups ⋮ Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map ⋮ Timelike surfaces of constant mean curvature \(\pm 1\) in anti-de Sitter 3-space \(\mathbb H^3_1(-1)\) ⋮ Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space ⋮ Weierstrass representation for lightlike surfaces in Lorentz-Minkowski 3-space ⋮ Translation surfaces with constant mean curvature in 3-dimensional spaces

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