Timelike surfaces with mean curvature one in anti-de Sitter 3-space

DOI10.2996/KMJ/1138039972zbMath0812.53052OpenAlexW2005335134MaRDI QIDQ1340429

Jianqiao Hong

Publication date: 19 December 1994

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039972

zbMATH Keywords

constant mean curvatureanti-de Sitter spacetimelike surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Timelike minimal surfaces via loop groups ⋮ Timelike surfaces of constant mean curvature \(\pm 1\) in anti-de Sitter 3-space \(\mathbb H^3_1(-1)\)

Cites Work

• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Spacelike constant mean curvature surfaces in pseudo-Riemannian space forms
• Weierstrass formula for surfaces of prescribed mean curvature
• The extremal surfaces in the 3-dimensional Minkowski space
• The geometry of the generalized Gauss map
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