Classification of some special types ruled surfaces in simply isotropic 3-space

DOI10.1515/awutm-2017-0006OpenAlexW2751655329MaRDI QIDQ2679524

Nural Yüksel, Dae Won Yoon, Murat Kemal Karacan

Publication date: 23 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/10.1515/awutm-2017-0006

zbMATH Keywords

Laplace operatorruled surfacessimply isotropic space

Mathematics Subject Classification ID

Partial differential equations (35-XX) Differential geometry (53-XX)

Related Items (2)

Parabolic revolution surfaces of finite type in simply isotropic 3-spaces ⋮ Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space

Cites Work

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• A generalization of translation surfaces with constant curvature in the isotropic space
• An extension of Takahashi's theorem
• On surfaces of finite type in Euclidean 3-space
• Laguerre minimal surfaces, isotropic geometry and linear elasticity
• Mappings of ruled surfaces in simply isotropic space \(I_3^1\) that preserve the generators
• On the Gauss map of surfaces of revolution in a 3-dimensional Minkowski space
• Minimal immersions of Riemannian manifolds
• Surfaces of revolution in the three dimensional pseudo-Galilean space
• Regelflächen im isotropen Raum.

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