Translation surfaces of constant curvatures in a simply isotropic space

DOI10.1007/s10998-014-0027-2zbMath1324.53009OpenAlexW2014080264MaRDI QIDQ397089

Željka Milin Šipuš

Publication date: 14 August 2014

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0027-2

zbMATH Keywords

translation surfaceWeingarten surfacesimply isotropic space

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Other special differential geometries (53A40)

Related Items (19)

Geometry of curve flows in isotropic spaces ⋮ Constant curvature translation surfaces in Galilean 3-space ⋮ Loxodromes and geodesics on rotational surfaces in a simply isotropic space ⋮ Unnamed Item ⋮ Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space ⋮ Classification of some special types ruled surfaces in simply isotropic 3-space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space ⋮ A generalization of translation surfaces with constant curvature in the isotropic space ⋮ Surfaces of revolution in the three dimensional simply isotropic space \(\mathbb I_3^1\) ⋮ Affine factorable surfaces in isotropic spaces ⋮ Constant curvature factorable surfaces in 3-dimensional isotropic space ⋮ Willmore Surfaces in Three-Dimensional Simply Isotropic Spaces $$\mathbb {I}_3^1$$ ⋮ Unnamed Item ⋮ Ruled surfaces generated by elliptic cylindrical curves in the isotropic space ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• The Weingarten ruled surfaces
• Laguerre minimal surfaces, isotropic geometry and linear elasticity
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• Affine translation surfaces with constant sectional curvature
• Translation surfaces in the Galilean space
• Über die isotropoen Gegenstücke der Minimalfläche von Scherk.
• Discrete Surfaces in Isotropic Geometry

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