Flat affine maximal surfaces in \(\mathbb{R}^{4}\)
type: Item
instance of: scholarly article
title: Flat affine maximal surfaces in \(\mathbb{R}^{4}\)
zbMATH Open document ID: 1185.53011
author: Yu Fu
author: Zhong Hua Hou
published in: Results in Mathematics
publication date: 2010-01-18T00:00:00Z
review text: For nondegenerate immersed surfaces \(\phi: M^2\to \mathbb R^4\), under the equiaffine structure of Nomizu and Vrancken, the definite extremal surfaces (the authors called them maximal surfaces, that is, the mean curvature vanishes identity) with flat induced connection, and the indefinite extremal surfaces (the authors called them also maximal surfaces) with flat induced connection and flat affine metric, are classified.
reviewed by: Huili Liu
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 53B05
zbMATH DE Number: 5659736
zbMATH Keywords: equiaffine normal bundle
zbMATH Keywords: affine mean curvature
zbMATH Keywords: maximal surface
MaRDI profile type: Publication
full work available at URL: s00025-009-0396-7
OpenAlex ID: W2087483227
Wikidata QID: Q126121477
DOI: 10.1007/S00025-009-0396-7
description: scientific article; zbMATH DE number 5659736