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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