Abstract CR Structures
An abstract CR structure on a manifold M of dimension n consists of a subbundle L of the complexified tangent bundle which is formally integrable, in the sense that ⊂ L, which is linearly independent of its complex conjugate. The CR codimension of the CR structure is k = n - 2 dim L. In case k = 1, the CR structure is said to be of hypersurface type. Most examples of abstract CR structures are of hypersurface type, unless otherwise made explicit.
Read more about this topic: CR Manifold
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