Examples
The canonical example of a CR manifold is the real sphere as a submanifold of . The bundle described above is given by
where is the bundle of holomorphic vectors. The real form of this is given by, the bundle given at a point concretely in terms of the complex structure, on by
and the almost complex structure on is just the restriction of .
Read more about this topic: CR Manifold
Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)