Reeb sphere theorem information

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

particular, the Reeb sphere theorem says that a compact manifold with a function with exactly two critical points is homeomorphic to the sphere. In turn, in...

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...

Reeb graph Reeb sphere theorem Reeb stability theorem Reeb vector field This disambiguation page lists articles associated with the title Reeb. If an internal...

(politics) Ratner's theorems (ergodic theory) Rauch comparison theorem (Riemannian geometry) Rédei's theorem (group theory) Reeb sphere theorem (foliations)...

k=2} was studied by Georges Reeb in 1952; the Reeb sphere theorem states that M {\displaystyle M} is homeomorphic to a sphere S n . {\displaystyle S^{n}...

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...

to obtain results that hold for any Reeb vector field on the manifold. The Reeb field is named after Georges Reeb. The roots of contact geometry appear...

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

functions for the leaves. For example, while the 3-sphere has a famous codimension-1 foliation discovered by Reeb, a codimension-1 foliation of a closed manifold...

theory of foliations, which will be later developed by his student Georges Reeb. With the same perspective, he pioneered the notions of jet and of Lie groupoid...

orbits of Hamiltonian or Reeb vector flows. More specifically, the conjecture claims that on a compact contact manifold, its Reeb vector field should carry...

collections of closed Reeb orbits and its differential counts certain holomorphic curves with ends at certain collections of Reeb orbits. It differs from...

symplectic field theory Ko Honda, Reeb vector fields and open book decompositions William H. Meeks, The Dynamics Theorem for embedded minimal surfaces Yair...