SO(2)-invariant minimal and constant mean curvature surfaces
type: Item
instance of: scholarly article
title: SO(2)-invariant minimal and constant mean curvature surfaces
zbMATH Open document ID: 0827.53009
DOI: 10.1007/BF02570457
author: Renzo Caddeo
author: Paola Piu
author: Andrea Ratto
published in: Manuscripta Mathematica
publication date: 1995-08-29T00:00:00Z
full work available at URL: https://eudml.org/doc/156070
review text: The authors endow \(\mathbb{R}^3\) with a certain classical 2-parameter family of homogeneous metrics whose isometry groups have dimension or 6, and then examine invariant constant mean curvature surfaces in these. Then description is made via an ODE which admits a prime integral.
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 784057
zbMATH Keywords: homogeneous surfaces
zbMATH Keywords: constant mean curvature surfaces
reviewed by: J. Eells
MaRDI profile type: Publication
cites work: Q4274259
cites work: Q4296247
cites work: Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
cites work: Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces. I
Wikidata QID: Q125831994
OpenAlex ID: W2060915741
description: scientific article; zbMATH DE number 784057