Foliations

Reeb foliation

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 on dividing the sphere into two solid tori, along a 2-torus: see Clifford torus. Each of the solid tori is then foliated internally, in codimension 1, and the dividing torus surface forms one more leaf. By Novikov's compact leaf theorem, every smooth foliation of the 3-sphere includes a compact torus leaf, bounding a solid torus foliated in the same way. (Wikipedia).

Reeb foliation
Video thumbnail

Special Relativity F2 Relativistic Addition of Velocities

The relativistic addition of velocities.

From playlist Physics - Special Relativity

Video thumbnail

Special Relativity B2 Time Dilation

Relativistic time dilation.

From playlist Physics - Special Relativity

Video thumbnail

Reeb flows transverse to foliations - Jonathan Zung

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic:v Reeb flows transverse to foliations Speaker: Jonathan Zung Affiliation: Princeton Date: June 25, 2021 Eliashberg and Thurston showed that taut foliations on 3-manifolds can be approximated by tight contact structu

From playlist Mathematics

Video thumbnail

Global surfaces of section for Reeb flows – P. Salomão & U. Hryniewicz – ICM2018

Geometry Invited Lecture 5.4 Global surfaces of section for Reeb flows in dimension three and beyond Pedro Salomão & Umberto Hryniewicz Abstract: We survey some recent developments in the quest for global surfaces of section for Reeb flows in dimension three using methods from Symplectic

From playlist Geometry

Video thumbnail

Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for... - Marco Mazzucchelli

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 9:15am|Remote Access Topic: Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for Geodesic Flows Speaker: Marco Mazzucchelli Affiliation: École Normale Supérieure de Lyon Date: March 03, 2023 In

From playlist Mathematics

Video thumbnail

Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures - Robert Cardona

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures Speaker: Robert Cardona Affiliation: Instituto de Ciencias Matemáticas, Madrid Date: December 09, 2022 In this talk, we start by reviewin

From playlist Mathematics

Video thumbnail

Special Relativity B1 Time Dilation

Relativistic time dilation.

From playlist Physics - Special Relativity

Video thumbnail

Special Relativity B4 Time Dilation

Relativistic time dilation.

From playlist Physics - Special Relativity

Video thumbnail

Special Relativity B3 Time Dilation

Relativistic time dilation.

From playlist Physics - Special Relativity

Video thumbnail

Understanding Area Preserving Disk Maps Through Holomorphic Curves - Barney Bramham

Barney Bramham Institute for Advanced Study December 10, 2010 Predicting the future for a Hamiltonian dynamical system is an old and notoriously difficult problem. I will present some evidence however that in the simplest situation where one iterates an area preserving map on the 2-disk, s

From playlist Mathematics

Video thumbnail

Implied Existence for 3-D Reeb Dynamics - Al Momin

Al Momin Purdue University November 19, 2010 Using a version of cylindrical contact homology on the complement of some Reeb orbits in a 3-dimensional contact manifold we will deduce that the existence of closed Reeb orbits with certain topological/dynamical properties implies the existenc

From playlist Mathematics

Video thumbnail

Alexandre Sukhov - J-complex curves: some applications (Part 1)

We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic sy

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

Video thumbnail

Alexandre Sukhov - J-complex curves: some applications (Part 4)

We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic sy

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

Video thumbnail

Electromagnetic induction and Antigravity!!!

Physics demonstrations (la physique)!!!

From playlist physics

Video thumbnail

Reeb orbits that force topological entropy - Abror Pirnapasov

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Reeb orbits that force topological entropy Speaker: Abror Pirnapasov Affiliation: Ruhr-Universität Bochum Date: June 4, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Pedram Hekmati: Moduli spaces of contact instantons

The Yang-Mills instantons have several natural extensions to higher dimensions. This talk concerns one such instance, namely contact instantons, which arise in the study of a super Yang-Mills theory on 5-dimensional contact manifolds. The geometry transverse to the Reeb foliation turns out

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

Related pages

3-sphere | Codimension | Mathematics | Novikov's compact leaf theorem | Foliation | Clifford torus | Torus