Lagrangian surfaces of constant curvature in complex Euclidean plane
type: Item
instance of: scholarly article
title: Lagrangian surfaces of constant curvature in complex Euclidean plane
zbMATH Open document ID: 1063.53081
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2004-11-05T00:00:00Z
review text: The article continues the author's previous papers [ibid., II. Ser. 49, No. 2, 177--297 (1997; Zbl 0877.53041)]; ibid., II. Ser. 51, No. 1, 13--20 (1999; Zbl 0986.53020)] and removes some defects in the first of them. As final result a complete classification of Lagrangian \(H\)-umbilical surfaces of constant curvature in complex Euclidean plane is given. In each of the six classes the surfaces are presented by explicit formulae.
Mathematics Subject Classification ID: 53D12
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 2114247
zbMATH Keywords: Lagrangian surface
zbMATH Keywords: Lagrangian \(H\)-umbilical surface
zbMATH Keywords: surface of constant curvature
author: Bang-Yen Chen
reviewed by: Ülo Lumiste
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1113246555
OpenAlex ID: W1999049340
cites work: Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
cites work: Representation of flat Lagrangian \(H\)-umbilical submanifolds in complex Euclidean spaces
cites work: Classification of flat slant surfaces in complex Euclidean plane.
DOI: 10.2748/TMJ/1113246555
description: scientific article; zbMATH DE number 2114247