Some special surfaces in the pseudo-Galilean space

DOI10.1007/s10474-007-6171-xzbMath1164.53007OpenAlexW2024773681MaRDI QIDQ950346

Blaženka Divjak, Željka Milin Šipuš

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10474-007-6171-x

zbMATH Keywords

ruled surfacemean curvatureGaussian curvaturepseudo-Galilean spacegeneralized screw surface

Mathematics Subject Classification ID

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

Related Items

Geometry of the solutions of localized induction equation in the pseudo-Galilean space ⋮ Constant curvature translation surfaces in Galilean 3-space ⋮ Surfaces of constant curvature in the pseudo-Galilean space ⋮ Twisted surfaces with vanishing curvature in Galilean 3-space ⋮ Generalized tubes in pseudo‐Galilean 3‐space: Split semi‐quaternionic representations and an application to magnetic flux tubes ⋮ The rectifying developable and the tangent indicatrix of a curve in Galilean 3-space ⋮ Homothetical surfaces in three dimensional pseudo-Galilean spaces satisfying \(\Delta ^{II}\mathbf{x }_i=\lambda _i\mathbf{x }_i\) ⋮ Non-zero constant curvature factorable surfaces in pseudo-Galilean space ⋮ Unnamed Item

Cites Work

• Classification of ruled surfaces in Minkowski 3-spaces
• Bergman-Vekua theory in differential form
• Ruled Weingarten surfaces in Minkowski 3-space
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• Minding isometries of ruled surfaces in pseudo-Galilean space
• Special curves on ruled surfaces in Galilean and pseudo-Galilean spaces
• The history of mathematics in the nineteenth century
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