Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space
type: Item
instance of: scholarly article
title: Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space
zbMATH Open document ID: 1062.53003
author: Rafael López
published in: Rocky Mountain Journal of Mathematics
publication date: 2004-05-27T00:00:00Z
review text: Cyclic surfaces of constant Gauss curvature in Lorentz-Minkowski 3-space are examined. A surface is said to be cyclic if and only if there is a one-parameter family of planes which meet it in pieces of circles. The author shows that if the Gauss curvature of such a surface is a non-zero constant then we have a surface of revolution. He also effectively describes the parametrizations for the surface when the Gauss curvature is zero.
reviewed by: Włodzimierz Waliszewski
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 2067060
zbMATH Keywords: Lorentz-Minkowski three-space
zbMATH Keywords: cyclic surface
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181069938
OpenAlex ID: W2030578155
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DOI: 10.1216/RMJM/1181069938
description: scientific article; zbMATH DE number 2067060