Surfaces of \(M_k^2\times \mathbb R \) invariant under a one-parameter group of isometries
type: Item
instance of: scholarly article
title: Surfaces of \(M_k^2\times \mathbb R \) invariant under a one-parameter group of isometries
zbMATH Open document ID: 1294.53053
author: Hilário Alencar
author: Manfredo P. do Carmo
author: R. Tribuzy
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2014-06-18T00:00:00Z
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 6305047
zbMATH Keywords: product space
zbMATH Keywords: hyperbolic plane
zbMATH Keywords: isometry
zbMATH Keywords: one-parameter group
MaRDI profile type: Publication
full work available at URL: s10231-012-0288-4
OpenAlex ID: W2052799515
cites work: A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
cites work: A Hopf theorem for ambient spaces of dimensions higher than three
cites work: Isometric immersions into 3-dimensional homogeneous manifolds
cites work: Complete surfaces with positive extrinsic curvature in product spaces
cites work: On a class of hypersurfaces in \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\)
DOI: 10.1007/S10231-012-0288-4
Recommended article: Surfaces in E³ invariant under a one parameter group of isometries of E³
Recommended article: Surfaces in the isotropic space \(S^ 2\times\mathbb{R}\)
Recommended article: On certain infinitesimal isometries of surfaces
Recommended article: On Finsler surfaces of constant curvature with two-dimensional isometry group
Recommended article: INVARIANT CMC SURFACES IN ${\mathbb H}^2\times {\mathbb R}$
Recommended article: Invariant surfaces with constant mean curvature in \(\mathbb H^2 \times \mathbb R\)
Recommended article: SURFACES EMBEDDED ISOMETRICALLY IN THE HEISENBERG GROUP
Recommended article: Q4259465
Recommended article: Isometries of Lorentz surfaces and convergence groups
Recommended article: Invariant surfaces of the Heisenberg groups
description: scientific article; zbMATH DE number 6305047