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

Montaldi, James (2007) A note on the geometry of linear Hamiltonian systems of signature 0 in R4. J. Differential Geometry and its Applications, 25. pp. 344-350. ISSN 1749-9097

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Abstract

It is shown that a linear Hamiltonian system on R4 is elliptic or hyperbolic according to the number of Lagrangian planes in the null-cone H^−1(0), or equivalently the number of invariant Lagrangian planes. Some extension to higher dimensions is described.

Item Type: Article
Uncontrolled Keywords: Symplectic geometry, Hamiltonian systems, Lagrangian subspaces
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry
Depositing User: Dr James Montaldi
Date Deposited: 21 May 2007
Last Modified: 27 Oct 2017 16:38
URI: https://eprints.maths.manchester.ac.uk/id/eprint/141

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