A note on the geometry of linear Hamiltonian systems of signature 0 in R^4

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103693It 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 $H^{-1}(0)$, or equivalently the number of invariant Lagrangian planes. An extension to higher dimensions is described.7 pagesSymplectic GeometryDynamical Systems37J05A note on the geometry of linear Hamiltonian systems of signature 0 in R^4text