 CR manifold

In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge.Formally, a CR manifold is a differentiable manifold "M" together with a preferred complex distribution "L", or in other words a complex subbundle of the complexified tangent bundle formula_1 such that


The subbundle "L" is called a CR structure on the manifold "M".