Kenmotsu-Bryant type representation formulas for constant mean curvature surfaces in \(\mathbb{H}^3 (-c^2)\) and \(\mathbb{S}_1^3 (c^2)\)
type: Item
instance of: scholarly article
title: Kenmotsu-Bryant type representation formulas for constant mean curvature surfaces in \(\mathbb{H}^3 (-c^2)\) and \(\mathbb{S}_1^3 (c^2)\)
zbMATH Open document ID: 0948.53032
DOI: 10.1023/A:1006504614150
author: Reiko Aiyama
author: Kazuo Akutagawa
published in: Annals of Global Analysis and Geometry
publication date: 2000-11-19T00:00:00Z
review text: The authors use the frame method to give representation formulas for branched constant mean curvature \(H\) surfaces in the hyperbolic 3-space \(H^3(-c^2)\) of constant curvature \(-c^2\) \((|H|> c)\), and for spacelike constant mean curvature \(H\) surfaces in the de Sitter 3-space \(S^3_1(c^2)\) of constant curvature \(c^2\).
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 1271811
zbMATH Keywords: harmonic map
zbMATH Keywords: hyperbolic space
zbMATH Keywords: de Sitter space
zbMATH Keywords: constant mean curvature
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1271811