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

Text
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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 |
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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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