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...

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...

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...

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...

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...

Complex projective space Kähler manifold Dolbeault operator CR manifold Stein manifold Almost complex structure Hermitian manifold Newlander–Nirenberg theorem...

specializing in differential geometry, partial differential equations and CR manifolds. He is best known for his work in Conformal geometry for his study of...

{\displaystyle \mathbb {CP} ^{n}} by Takeuchi. Bicomplex number Complex geometry CR manifold Dolbeault cohomology Harmonic maps Harmonic morphisms Infinite-dimensional...

is the stabilizer of an isotropic line (see CR manifold) contact projective geometry, the study of manifolds modeled on S P ( n ) / P {\displaystyle SP(n)/P}...

and CR structures. Typically, complex forms are considered because of some desirable decomposition that the forms admit. On a complex manifold, for instance...

A large class of Kähler manifolds (the class of Hodge manifolds) is given by all the smooth complex projective varieties. CR geometry is the study of...

CR-manifolds. Invent. Math. 92 (1988), no. 2, 333–348. C L Epstein, G M Henkin, Extension of CR-structures for 3-dimensional pseudoconcave manifolds....

dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct from the closely related...

Coordinate geometry see analytic geometry CR geometry a branch of differential geometry, being the study of CR manifolds. Cryptography Contents:  Top A B C D...

curves are tangent to the field at each point. Let M be a Banach manifold of class Cr with r ≥ 2. As usual, TM denotes the tangent bundle of M with its...

alloy intake manifold with dual adjustable turbulence flaps fuel system & engine management Bosch 2,000 bar (29,010 psi) common rail (CR) (one rail per...

Bruce Gilligan, Fibrations and Globalizations of Compact Homogeneous CR-Manifolds, Izvestiya: Mathematics, 73:3,(2009) 501 - 553. with Gregor Fels, Joseph...

deformations of compact complex manifolds. In 1982 he made important progress in the embedding problem for CR manifolds (Cauchy–Riemann structures). In...

7:1 (Stoichiometric) Deep Piston Cavity formed in top of Pistons Intake Manifold code: PPD Application: 2003–2006 Honda Stream Absolute Applications SAE...

Massachusetts Institute of Technology. His dissertation Spiralling Chains in CR Manifolds was supervised by Richard Burt Melrose. His time at MIT led him to pursue...

lightweight construction: reduced wall thickness and steel sheet exhaust manifold (instead of cast-iron), one near-engine-mounted catalytic pre-converter...

while on fire in the 14th lap from an engine manifold that fell off in flight. 1938 Thompson Trophy races. The CR-4 was repaired just in time for the race...

K. The heat equation on a CR manifold. J. Differential Geom. 20 (1984), no. 2, 343–387. Stanton, Nancy K. Infinitesimal CR automorphisms of rigid hypersurfaces...

multi-point electronic sequential indirect fuel injection with eight intake manifold-sited fuel injectors; twin Hitachi ignition coils (one per cylinder bank)...

ISBN 978-981-4324-78-6; 981-4324-78-7 Kim, Kang-Tae; Yoccoz, Jean-Christophe CR manifolds admitting a CR contraction. J. Geom. Anal. 21 (2011), no. 2, 476–493. Kim, Kang-Tae;...