A note on the geometry of linear Hamiltonian systems of signature 0 in R4

James Montaldi

doi:10.1016/j.difgeo.2007.02.003

A note on the geometry of linear Hamiltonian systems of signature 0 in R4

James Montaldi

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that a linear Hamiltonian system of signature zero on R4 is elliptic, hyperbolic or mixed according to the number of Lagrangian planes in the null-cone H-1 (0), or equivalently the number of invariant Lagrangian planes. A weaker extension to higher dimensions is described. © 2007 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	344-350
Number of pages	6
Journal	Differential Geometry and its Application
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/j.difgeo.2007.02.003
Publication status	Published - Jun 2007

Keywords

Hamiltonian systems
Lagrangian planes
Null-cone
Symplectic geometry

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10.1016/j.difgeo.2007.02.003

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title = "A note on the geometry of linear Hamiltonian systems of signature 0 in R4",

abstract = "It is shown that a linear Hamiltonian system of signature zero on R4 is elliptic, hyperbolic or mixed according to the number of Lagrangian planes in the null-cone H-1 (0), or equivalently the number of invariant Lagrangian planes. A weaker extension to higher dimensions is described. {\textcopyright} 2007 Elsevier B.V. All rights reserved.",

keywords = "Hamiltonian systems, Lagrangian planes, Null-cone, Symplectic geometry",

author = "James Montaldi",

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AB - It is shown that a linear Hamiltonian system of signature zero on R4 is elliptic, hyperbolic or mixed according to the number of Lagrangian planes in the null-cone H-1 (0), or equivalently the number of invariant Lagrangian planes. A weaker extension to higher dimensions is described. © 2007 Elsevier B.V. All rights reserved.

KW - Hamiltonian systems

KW - Lagrangian planes

KW - Null-cone

KW - Symplectic geometry

U2 - 10.1016/j.difgeo.2007.02.003

DO - 10.1016/j.difgeo.2007.02.003

M3 - Article

SN - 0926-2245

VL - 25

SP - 344

EP - 350

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

IS - 3

ER -

A note on the geometry of linear Hamiltonian systems of signature 0 in R4

Abstract

Keywords

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