The limit of Lagrangian surfaces in \(\mathbb{R}^ 4\)
type: Item
instance of: scholarly article
title: The limit of Lagrangian surfaces in \(\mathbb{R}^ 4\)
zbMATH Open document ID: 0795.53032
DOI: 10.1215/S0012-7094-93-07124-4
author: Yng-Ing Lee
published in: Duke Mathematical Journal
publication date: 1994-09-11T00:00:00Z
review text: The author gives an example to show that the limit of a sequence of Lagrangian surfaces in \(\mathbb{R}^ 4\) is not necessarily a Lagrangian surface. The author proves also that for the Lagrangian graphs over a Lagrangian plane (e.g. the \(x_ 1x_ 2\)-plane), the limit is a Lagrangian surface.
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 495433
zbMATH Keywords: symplectic manifold
zbMATH Keywords: singularity
zbMATH Keywords: Lagrangian graphs
MaRDI profile type: Publication
cites work: Pseudo holomorphic curves in symplectic manifolds
cites work: Symplectic manifolds and their Lagrangian submanifolds
description: scientific article; zbMATH DE number 495433