Mean curvatures and Gauss maps of a pair of isometric helicoidal and rotation surfaces in Minkowski 3-space

DOI10.1016/j.jmaa.2010.03.054zbMath1194.53012OpenAlexW1986064436MaRDI QIDQ973990

Young Ho Kim, Fenghui Ji

Publication date: 26 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.054

zbMATH Keywords

isometryMinkowski spaceGauss mapmean curvaturerotation surfacehelicoidal surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Isometric deformation of \((m,n)\)-type helicoidal surface in the three dimensional Euclidean space ⋮ Unnamed Item ⋮ Differential equations of the space-like loxodromes on the helicoidal surfaces in Minkowski 3-space ⋮ Isometries between minimal helicoidal surfaces and rotation surfaces in Minkowski space ⋮ Space-like loxodromes on rotational surfaces in Minkowski 3-space ⋮ Implicit equations of the Henneberg-type minimal surface in the four-dimensional Euclidean space ⋮ Bour's theorem of spacelike surfaces in Minkowski 4-space

Cites Work

• Bour's theorem in Minkowski 3-space
• Ruled Weingarten surfaces in Minkowski 3-space
• Bour's theorem in Minkowski geometry
• A kind of helicoidal surfaces in 3-dimensional Minkowski space
• Helicoidal surfaces in three-dimensional Minkowski space
• Helicoidal surfaces under the cubic screw motion in Minkowski 3-space
• HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE
• HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE II
• Spacelike helicoidal surfaces with constant mean curvature in Minkowski 3-space
• Unnamed Item

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