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2005.7: A note on the geometry of linear Hamiltonian systems of signature 0 in R4

2005.7: J Montaldi (2007) A note on the geometry of linear Hamiltonian systems of signature 0 in R4. Differential Geometry and its Applications, 25. pp. 344-350. ISSN 1749-9097

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DOI: 10.1016/j.difgeo.2007.02.003

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 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 53 Differential geometry
MIMS number:2005.7
Deposited By:Dr James Montaldi
Deposited On:21 May 2007

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