Timelike surfaces of constant mean curvature in Minkowski 3-space
type: Item
instance of: scholarly article
title: Timelike surfaces of constant mean curvature in Minkowski 3-space
zbMATH Open document ID: 0930.53042
published in: Tokyo Journal of Mathematics
publication date: 2000-02-15T00:00:00Z
review text: The paper studies timelike surfaces of constant mean curvature \(H\neq 0\) in Minkowski 3-space. First the moving frame equations for such surfaces are derived in Lorentzian isothermal coordinares. An associate family is defined and a generalized Sym-Bobenko formula is given, defining the timelike constant mean curvature immersion directly from the extended frame by differentiation with respect to the spectral parameter. As an application, the immersions corresponding to the vacuum solution are discussed, producing timelike hyperbolic and circular cylinders. The last section discusses parallel surfaces.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 37K25
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1207090
zbMATH Keywords: associated family
zbMATH Keywords: Sym-Bobenko formula
zbMATH Keywords: vacuum solution
author: Jun-ichi Inoguchi
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270041992
OpenAlex ID: W1968081366
DOI: 10.3836/TJM/1270041992
description: scientific article; zbMATH DE number 1207090