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...

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...

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

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

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

hyperplane distribution, i.e. that it be tangent to a codimension one foliation on the manifold, whose equivalence is the content of the Frobenius theorem...

{\displaystyle n=16} ). These manifolds are important in both Morse theory and foliation theory: Theorem: Let M {\displaystyle M} be a connected closed manifold...

1944 Ehresmann inaugurated the theory of foliations, which will be later developed by his student Georges Reeb. With the same perspective, he pioneered...

the category of Reeb graphs is equivalent to a particular class of cosheaf. This is motivated by theoretical work in TDA, since the Reeb graph is related...

Poisson structures the modular class is related to the Reeb class of the underlying symplectic foliation (an element of the first leafwise cohomology group...

Ehresmann-Reeb holonomy or leaf holonomy in reference to the first detailed study using Ehresmann connections to study foliations in (Reeb 1952) See also...

v9.n4.a2. Crainic, Marius; Mǎrcuţ, Ioan (2015). "Reeb-Thurston stability for symplectic foliations". Mathematische Annalen. 363 (1–2): 217–235. arXiv:1307...

theorem (Riemannian geometry) Rédei's theorem (group theory) Reeb sphere theorem (foliations) Reeh–Schlieder theorem (local quantum field theory) Reflection...

Lie semi-simples (semisimple groups) Georges Reeb Sur les feuilletages analytiques (analytic foliations) Shiing-Shen Chern, Les hypersurfaces dans l'espace...

Karcher, Embedded minimal surfaces in the 3-sphere Jürgen Moser, Minimal foliations of tori Edward Witten. Applications of quantum field theory to topology...