Translation surfaces in the three-dimensional simply isotropic space 𝕀31

DOI10.1142/S0219887816500882zbMath1345.53009WikidataQ125923026 ScholiaQ125923026MaRDI QIDQ2816548

Dae Won Yoon, Murat Kemal Karacan, Bahaddin Bukcu

Publication date: 23 August 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Laplace operatortranslation surfacessimply isotropic space

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Other special differential geometries (53A40)

Related Items (10)

Translation surfaces in the three-dimensional simply isotropic space 𝕀31 ⋮ Unnamed Item ⋮ Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 ⋮ Parabolic revolution surfaces of finite type in simply isotropic 3-spaces ⋮ Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space ⋮ Translation surfaces in affine 3-space ⋮ Homothetical surfaces in three dimensional pseudo-Galilean spaces satisfying \(\Delta ^{II}\mathbf{x }_i=\lambda _i\mathbf{x }_i\) ⋮ Willmore Surfaces in Three-Dimensional Simply Isotropic Spaces $$\mathbb {I}_3^1$$ ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• On surfaces of finite type in Euclidean 3-space
• On the Gauss map of surfaces of revolution in a 3-dimensional Minkowski space
• Translation surfaces in the 3-dimensional space satisfying \(\Delta ^{III} r_{i} = \mu _{i} r_{i}\)
• Some classification of surfaces of revolution in Minkowski 3-space
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