In mathematics, the Reeb foliation is a particular foliation of the 3-sphere, introduced by the French mathematician Georges Reeb (1920–1993). It is based...

while the 3-sphere has a famous codimension-1 foliation discovered by Reeb, a codimension-1 foliation of a closed manifold cannot be given by the level...

smaller pieces. In particular, he described what is now called the Reeb foliation, a foliation of the 3-sphere, whose leaves are all diffeomorphic to R 2 {\displaystyle...

foliations are closely related to the concept of Reebless foliation. A taut foliation cannot have a Reeb component, since the component would act like a "dead-end"...

Reeb (born 1972), German footballer Larry Reeb, American stand-up comedian Troy Reeb (born 1969), Canadian journalist Reeb (beer) Reeb foliation Reeb...

codimension-one foliation of the 3-sphere S3 has a compact leaf. The leaf is a torus T2 bounding a solid torus with the Reeb foliation. The theorem was...

mathematics, Reeb sphere theorem, named after Georges Reeb, states that A closed oriented connected manifold M n that admits a singular foliation having only...

simplex Pauli matrices Hopf bundle, Riemann sphere Poincaré sphere Reeb foliation Clifford torus Lemaître, Georges (1948). "Quaternions et espace elliptique"...

In mathematics, Reeb stability theorem, named after Georges Reeb, asserts that if one leaf of a codimension-one foliation is closed and has finite fundamental...

\\0&{\text{otherwise}}.\end{cases}}\end{aligned}}} Cheerios Hyperbolic Dehn surgery Reeb foliation Whitehead manifold Donut Falconer, Kenneth (2004), Fractal Geometry:...