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:
“I am not afraid that I shall exaggerate the value and significance of life, but that I shall not be up to the occasion which it is.”
—Henry David Thoreau (1817–1862)