Constant curved minimal 2-spheres in \(G(2,4)\)
type: Item
instance of: scholarly article
title: Constant curved minimal 2-spheres in \(G(2,4)\)
zbMATH Open document ID: 0957.53028
author: Zhenqi Li
author: Zhu-Huan Yu
published in: Manuscripta Mathematica
publication date: 2000-11-27T00:00:00Z
review text: In this paper, the authors give a complete classification for minimal immersions (neither holomorphic nor antiholomorphic) of 2-spheres with constant induced Gaussian curvature in the complex Grassmann manifold \(G(2,4)\). Essentially, four cases appear. They use the harmonic sequence method developed by \textit{S. S. Chern} and \textit{J. G. Wolfson} [in Ann. Math. 125, 301-335 (1987; Zbl 0627.58017)]. The classification in the holomorphic case is announced in a preprint of the first author.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C43
zbMATH DE Number: 1385135
zbMATH Keywords: minimal 2-sphere
zbMATH Keywords: constant Gauss curvature
zbMATH Keywords: complex Grassmann manifold
zbMATH Keywords: harmonic sequence method
MaRDI profile type: Publication
full work available at URL: s002290050202
OpenAlex ID: W2090143750
DOI: 10.1007/S002290050202
description: scientific article; zbMATH DE number 1385135