Source: wikibot/cr-manifold

= CR manifold
{wiki=CR_manifold}

A CR manifold (Cauchy-Riemann manifold) is a differential manifold equipped with a special kind of geometric structure that generalizes the concept of complex structures to a more general setting. Specifically, a CR manifold has a certain kind of foliation by complex subspaces that leads to the definition of CR structures. To define a CR manifold, consider the following components: 1. **Smooth Manifold**: Start with a smooth manifold \\( M \\) of real dimension \\( 2n \\).