Helicoids of constant mean curvature and their Gauss maps
type: Item
instance of: scholarly article
title: Helicoids of constant mean curvature and their Gauss maps
zbMATH Open document ID: 0543.53044
author: Walter Seaman
published in: Pacific Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author gives a description, via the theory of harmonic maps, of Gauss maps of all complete helicoidal surfaces with constant mean curvature in \(R^ 3\); the latter surfaces were described by the reviewer and \textit{M. Dajczer} [Tohôku Math. J., II. Ser. 34, 425-435 (1982; Zbl 0501.53003)]. As a consequene of the above, the author shows that the spherical image of a complete helicoidal surface with constant mean curvature in \(R^ 3\) contains an equator.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 3864041
zbMATH Keywords: harmonic maps
zbMATH Keywords: Gauss maps
zbMATH Keywords: helicoidal surface
zbMATH Keywords: constant mean curvature
zbMATH Keywords: equator
MaRDI profile type: Publication
full work available at URL: pjm.1984.110.387
OpenAlex ID: W1999704803
DOI: 10.2140/PJM.1984.110.387
description: scientific article; zbMATH DE number 3864041