In mathematics, a CR manifold, or Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real...

Topological manifold Almost complex manifold Almost symplectic manifold Calibrated manifold Complex manifold Contact manifold CR manifold Finsler manifold Hermitian...

-dimensional complex manifold has dimension 2 n {\displaystyle 2n} as a real differentiable manifold. A CR manifold is a manifold modeled on boundaries...

(after Joseph J. Kohn) on a compact CR manifold. Applications there are to the global embedding of such CR manifolds in C n . {\displaystyle \mathbb {C}...

coefficients. A CR manifold comes equipped with a chain complex of differential operators, formally similar to the Dolbeault complex on a complex manifold, called...

of the foliation. If the manifold and/or the submanifolds are required to have a piecewise-linear, differentiable (of class Cr), or analytic structure...

Higher asymptotics of the complex Monge-Ampère equation and geometry of CR manifolds. From 1982 to 1987, Lee was an assistant professor at Harvard University...

compact CR manifolds have non-negative CR Paneitz operators. The formal definition of the CR Paneitz operator P 4 {\displaystyle P_{4}} on CR manifolds of...

The Honda CR-V (also sold as the Honda Breeze in China since 2019) is a compact crossover SUV manufactured by Japanese automaker Honda since 1995. Initial...

derivative. For example, in the manifold case, the derivative sends a Cr-manifold to a Cr−1-manifold (its tangent bundle) and a Cr-function to its total derivative...