Generalized symplectic Cayley transforms and a higher order formula for the Conley-Zehnder index of symplectic paths
type: Item
instance of: scholarly article
title: Generalized symplectic Cayley transforms and a higher order formula for the Conley-Zehnder index of symplectic paths
zbMATH Open document ID: 1165.37020
author: Roberto Giambò
author: Valentina Girolimetti
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-06-10T00:00:00Z
review text: The authors generalize the notion of Cayley transform in the symplectic group so that it allows them to construct a sequence of integer-valued invariants associated with a degeneracy instant of a smooth path of symplectomorphisms. As an application, in the real analytic case a formula for the Conley-Zehnder index is found in terms of those invariants.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 37J05
Mathematics Subject Classification ID: 47A07
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 58J30
zbMATH DE Number: 5285986
zbMATH Keywords: symplectic Cayley transform
zbMATH Keywords: Conley-Zehnder index
MaRDI profile type: Publication
full work available at URL: j.na.2007.04.003
OpenAlex ID: W2089286333
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DOI: 10.1016/J.NA.2007.04.003
description: scientific article; zbMATH DE number 5285986