A note on the geometry of linear Hamiltonian systems of signature 0 in R^4
Symplectic Geometry
2007-05-23 v1 Dynamical Systems
Abstract
It is shown that a linear Hamiltonian system of signature zero in 4 dimensions is elliptic or hyperbolic according to the number of Lagrangian planes in the null-cone , or equivalently the number of invariant Lagrangian planes. An extension to higher dimensions is described.
Cite
@article{arxiv.math/0510352,
title = {A note on the geometry of linear Hamiltonian systems of signature 0 in R^4},
author = {James Montaldi},
journal= {arXiv preprint arXiv:math/0510352},
year = {2007}
}
Comments
7 pages