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:
“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)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)