Invariant surfaces with pointwise 1-type Gauss map in \(Sol_3\)

DOI10.1007/s00022-015-0261-7zbMath1329.53035OpenAlexW1963635152MaRDI QIDQ895716

Dae Won Yoon

Publication date: 4 December 2015

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0261-7

zbMATH Keywords

pointwise 1-type Gauss mapinvariant surfaceSol space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Local submanifolds (53B25)

Related Items (1)

Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map

Cites Work

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• Hypersurfaces in pseudo-Euclidean spaces satisfying a linear condition on the linearized operator of a higher order mean curvature
• Hypersurfaces in non-flat Lorentzian space forms satisfying \(L_k \psi = a\psi + b\)
• Hypersurfaces in the Lorentz-Minkowski space satisfying \(L_{k} \psi = A\psi + b\)
• Classification of ruled surfaces with pointwise 1-type Gauss map in Minkowski 3-space
• Flat surfaces in the Euclidean space \(\mathbb E^{3}\) with pointwise 1-type Gauss map
• An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures
• Hypersurfaces with constant scalar curvature
• Ruled surfaces with pointwise 1-type Gauss map
• CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L₁-POINTWISE 1-TYPE GAUSS MAP
• SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP

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