Reeb vector field information

In mathematics, the Reeb vector field, named after the French mathematician Georges Reeb, is a notion that appears in various domains of contact geometry...

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...

of orbits is a Kähler orbifold. The Reeb vector field at the Sasakian manifold at unit radius is a unit vector field and tangential to the embedding. A...

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

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

named after him include the Reeb graph and the Reeb vector field associated to a contact form. Towards the end of his career, Reeb become a supporter of the...

relative contact homology. Its generators are Reeb chords, which are trajectories of the Reeb vector field beginning and ending on a Lagrangian, and its...

trivializing the symplectic vector bundle over a periodic orbit of a Hamiltonian vector field on a symplectic manifold or the Reeb vector field on a contact manifold...

all three-dimensional contact manifolds, thus establishing that the Reeb vector field on such a manifold always has a closed orbit. Expanding both on this...

symplectic manifold; in symplectic field theory, contact homology, and their variants, one considers the Reeb vector field associated to a contact form, or...

example, 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...

any smooth fiber bundle. In particular, it does not rely on the possible vector bundle structure of the underlying fiber bundle, but nevertheless, linear...

fluid flow involves continuous deformation of any transported scalar or vector field. Problems of stirring and mixing are particularly susceptible to topological...

the analytic and geometric foundations of symplectic field theory Ko Honda, Reeb vector fields and open book decompositions William H. Meeks, The Dynamics...

neither.) The pair ( f , g ) {\displaystyle (f,g)} gives us a gradient vector field. We say that ( f , g ) {\displaystyle (f,g)} is Morse–Smale if the stable...

_{i=1}^{n}dp_{i}\wedge dq^{i}.} Indeed, if one considers the Hamiltonian vector field X f := ∑ i = 1 n ∂ f ∂ p i ∂ q i − ∂ f ∂ q i ∂ p i {\displaystyle X_{f}:=\sum...

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

M} ? The case k = 2 {\displaystyle k=2} was studied by Georges Reeb in 1952; the Reeb sphere theorem states that M {\displaystyle M} is homeomorphic to...

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...

Ornithologists' Union. 1998. p. 224. Retrieved 2007-06-29. Doucette, D.R. & Reebs, S.G. (1994). "Influence of temperature and other factors on the daily roosting...

Herzog M, Kalemanov M, Kluge M, Meier A, Nasir H, Neumaier U, Prade V, Reeb J, Sorokoumov A, Troshani I, Vorberg S, Waldraff S, Zierer J, Nielsen H,...

Avise, J.C.; J Arnold; R M Ball; E Bermingham; T Lamb; J E Neigel; C A Reeb; N C Saunders (1987). "Intraspecific Phylogeography: The Mitochondrial DNA...

Fanny Chevalier, Theophanis Tsandilas Visualization of Discontinuous Vector Field Topology: Egzon Miftari, Daniel Durstewitz, Filip Sadlo Vortex Lens:...

UNDERSTANDING" Best Student Paper: Laura Brandolini and Marco Piastra. "COMPUTING THE REEB GRAPH FOR TRIANGLE MESHES WITH ACTIVE CONTOURS" Latorre Carmona, Pedro; Sánchez...

These regions are precisely those regions associated with the edges of the Reeb graph of θ {\displaystyle \theta } on the surface, as shown by Stanley. Given...