THA-surfaces of finite type in the Galilean space \(\mathbb{G}^3\)

DOI10.2478/awutm-2022-0007OpenAlexW4283167300MaRDI QIDQ2678691

Abdelaziz Bennour, Bendehiba Senoussi, Khaled Beddani

Publication date: 24 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/awutm-2022-0007

zbMATH Keywords

Laplacian operatorfinite type immersionTHA-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)

Cites Work

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• On surfaces of finite type in Euclidean 3-space
• Ruled Weingarten surfaces in the Galilean space
• Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying \(\Delta r _{i } = \lambda _{i } r _{i }\)
• Translation surfaces in the 3-dimensional space satisfying \(\Delta ^{III} r_{i} = \mu _{i} r_{i}\)
• Minimal immersions of Riemannian manifolds
• Classification of factorable surfaces in the pseudo-Galilean space
• Translation surfaces in the Galilean space
• Twisted surfaces with vanishing curvature in Galilean 3-space

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