Gromov's compactness of pseudo-holomorphic curves and symplectic geometry
type: Item
instance of: scholarly article
title: Gromov's compactness of pseudo-holomorphic curves and symplectic geometry
zbMATH Open document ID: 0661.53024
published in: Journal of Differential Geometry
publication date: 1988-01-01T00:00:00Z
review text: In this paper a new proof of Gromov's compactness theorem for pseudo- holomorphic curves [\textit{M. Gromov}, Invent. Math. 82, 307-347 (1985; Zbl 0592.53025)] based on a partial differential equation method of Schoen and Uhlenbeck [\textit{R. Schoen}, Seminar on nonlinear partial differential equations, Publ., Math. Sci. Res. Inst. 2, 321-358 (1984; Zbl 0551.58011)] is given. In the second part of the paper another result of the above mentioned paper by Gromov is reproven namely, the symplectic rigidity of the open round ball.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4080310
zbMATH Keywords: Gromov's compactness theorem
zbMATH Keywords: pseudo-holomorphic curves
zbMATH Keywords: symplectic rigidity
author: Jon G. Wolfson
reviewed by: Izu Vaisman
Wikidata QID: Q115183504
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214442470
OpenAlex ID: W1520451204
DOI: 10.4310/JDG/1214442470
description: scientific article; zbMATH DE number 4080310