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

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

2005-10-17

arxiv.org/abs/math/0510352v1

Mathematics

Symplectic Geometry

7 pages

Scientific paper

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 $H^{-1}(0)$, or equivalently the number of invariant
Lagrangian planes. An extension to higher dimensions is described.

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