Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
type: Item
instance of: scholarly article
title: Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
zbMATH Open document ID: 0861.58018
DOI: 10.1016/S0294-1449(16)30108-1
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1997-05-12T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78447
review text: This is a report on the progress of an ongoing work on the properties of pseudoholomorphic curves in symplectisations following on from previous reports [the authors, Geom. Funct. Anal. 5, No. 2, 270-328 (1995; Zbl 0845.57027) and the first named author, Invent. Math. 114, No. 3, 515-563 (1993; Zbl 0797.58023)]. The work in the present report is mainly concerned with establishing an asymptotic formula by considering the dynamics of the Reeb vector field.
Mathematics Subject Classification ID: 37J10
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 32Q65
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 57R57
zbMATH DE Number: 939891
zbMATH Keywords: pseudoholomorphic curves
zbMATH Keywords: dynamics of the Reeb vector field
author: Helmut Hofer
author: Krzysztof Wysocki
author: Eduard Zehnder
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
cites work: Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
cites work: Pseudo holomorphic curves in symplectic manifolds
cites work: Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
cites work: Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
cites work: Q4224955
cites work: Correction to ``A characterisation of the tight three-sphere''
cites work: The dynamics on three-dimensional strictly convex energy surfaces
cites work: Q4304742
cites work: Q5526485
cites work: Q5618076
cites work: Q5607484
OpenAlex ID: W74147377
description: scientific article; zbMATH DE number 939891