 there exists a field of non-degenerate quadratic forms ${\EuScript{J}}$ on $\Lambda$ with index ${\operatorname{ind}}({\EuScript{J}}) = {\operatorname{ind}}(\Lambda)$ for which $X$ is ${\EuScript{J}}$-separated and the associated linear Poincaré flow $P^t$ is strictly ${\EuScript{J}}$-monotone on every compact invariant nonsingular subset $