Significance For CR Manifolds
A CR manifold comes equipped with a chain complex of differential operators, formally similar to the Dolbeault complex on a complex manifold, called the -complex. The Dolbeault complex admits a version of the Poincaré lemma. In the language of sheaves, this means that the Dolbeault complex is exact. The Lewy example, however, shows that the -complex is almost never exact.
Read more about this topic: Lewy's Example
Famous quotes containing the word significance:
“To grasp the full significance of life is the actor’s duty, to interpret it is his problem, and to express it his dedication.”
—Marlon Brando (b. 1924)