A theorem in complex symplectic geometry
type: Item
instance of: scholarly article
title: A theorem in complex symplectic geometry
zbMATH Open document ID: 0836.58015
DOI: 10.1007/BF02921802
author: Franc Forstnerič
published in: The Journal of Geometric Analysis
publication date: 1996-05-08T00:00:00Z
review text: We prove that two simple, closed, real-analytic curves in \(\mathbb{C}^{2n}\) which are polynomially convex are equivalent under the group of symplectic holomorphic automorphisms of \(\mathbb{C}^{2n}\) if and only if the two curves have the same action integral. Every two simple real-analytic arcs in \(\mathbb{C}^{2n}\) are so equivalent.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 32E20
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 828776
zbMATH Keywords: symplectic holomorphic maps
zbMATH Keywords: Hamiltonian fields
zbMATH Keywords: action integral
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02921802
OpenAlex ID: W1993616264
description: scientific article; zbMATH DE number 828776