Translation surfaces with constant mean curvature in 3-dimensional spaces
type: Item
instance of: scholarly article
title: Translation surfaces with constant mean curvature in 3-dimensional spaces
zbMATH Open document ID: 0940.53007
DOI: 10.1007/BF01229219
published in: Journal of Geometry
publication date: 2000-07-26T00:00:00Z
review text: The author classifies the translation surfaces with constant mean curvature or constant Gaussian curvature in 3-dimensional Euclidean space \(E^3\) and in 3-dimensional Minkowski space \(E^3_1\).
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1292224
zbMATH Keywords: timelike surfaces
zbMATH Keywords: translation surfaces
zbMATH Keywords: constant mean curvature
zbMATH Keywords: constant Gaussian curvature
author: Huili Liu
reviewed by: T. Koufogiorgos
MaRDI profile type: Publication
cites work: The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space
cites work: Timelike surfaces of constant mean curvature in Minkowski 3-space
cites work: Minimal immersion of pseudo-Riemannian manifolds
cites work: ROTATION SURFACES WITH CONSTANT MEAN CURVATURE IN 4-DIMENSIONAL PSEUDO-EUCLIDEAN SPACE
cites work: Timelike surfaces in Lorentz 3-space with prescribed mean curvature and Gauss map
cites work: Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
cites work: Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
cites work: Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
full work available at URL: https://doi.org/10.1007/bf01229219
OpenAlex ID: W2328005576
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description: scientific article; zbMATH DE number 1292224