Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3

DOI10.1108/AJMS-03-2021-0071OpenAlexW3197339145WikidataQ126190112 ScholiaQ126190112MaRDI QIDQ6136959

Unnamed Author, Unnamed Author, Hanifi Zoubir

Publication date: 31 August 2023

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/ajms-03-2021-0071

zbMATH Keywords

Laplace operatorspace-like surfacetranslation surfaceLorentz Heisenberg space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Isometries, geodesics and Jacobi fields of Lorentzian Heisenberg group
• On surfaces of finite type in Euclidean 3-space
• Homogeneous Lorentzian structures of the Heisenberg group. I
• Ruled surfaces of finite type in 3-dimensional Minkowski space
• Translation surfaces in the 3-dimensional space satisfying \(\Delta ^{III} r_{i} = \mu _{i} r_{i}\)
• Lorentzian geometry of the Heisenberg group
• Minimal immersions of Riemannian manifolds
• Translation surfaces in the three-dimensional simply isotropic space 𝕀31
• TRANSLATION SURFACES OF TYPE 2 IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I¹₃

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