Poisson Manifold - Complex Structure

Complex Structure

A complex Poisson manifold is a Poisson manifold with a complex or almost complex structure J such that the complex structure preserves the bivector:

.

The symplectic leaves of a complex Poisson manifold are pseudo-Kähler manifolds.

Read more about this topic:  Poisson Manifold

Famous quotes containing the words complex and/or structure:

    We must open our eyes and see that modern civilization has become so complex and the lives of civilized men so interwoven with the lives of other men in other countries as to make it impossible to be in this world and out of it.
    Franklin D. Roosevelt (1882–1945)

    There is no such thing as a language, not if a language is anything like what many philosophers and linguists have supposed. There is therefore no such thing to be learned, mastered, or born with. We must give up the idea of a clearly defined shared structure which language-users acquire and then apply to cases.
    Donald Davidson (b. 1917)