In
It is based on dividing the sphere into two
References
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Foliation — In mathematics, a foliation is a geometric device used to study manifolds. Informally speaking, a foliation is a kind of clothing worn on a manifold, cut from a striped fabric. On each sufficiently small piece of the manifold, these stripes give… … Wikipedia
Reeb component — noun A solid torus whose boundary is a leaf of a foliation of the ambient 3 dimensional manifold … Wiktionary
Taut foliation — In mathematics, a taut foliation is a codimension 1 foliation of a 3 manifold with the property there is a single transverse circle intersecting every leaf. By transverse circle, it is meant a closed loop that is always transverse to the tangent… … Wikipedia
Novikov's compact leaf theorem — In mathematics, Novikov s compact leaf theorem, named after Sergei Novikov, states that A codimension one foliation of a compact 3 manifold whose universal covering space is not contractible must have a compact leaf. Novikov s compact leaf… … Wikipedia
Слоение Риба — Слоение Риба слоение на трехмерной сфере, сконструированное французским математиком Жоржем Рибом (1920 1992). Содержание 1 Определение 2 Свойства 3 Иллюстрации … Википедия
3-sphere — Stereographic projection of the hypersphere s parallels (red), meridians (blue) and hypermeridians (green). Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles … Wikipedia
List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… … Wikipedia
Géométrie de contact — Structure standard sur ℝ3 : champ de plans La géométrie de contact est la partie de la géométrie différentielle qui étudie les formes et structures de contact. Elle entretient d étroits liens avec la géométrie symplectique, la géométrie… … Wikipédia en Français
Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − … Wikipedia
Connexion de Ehresmann — En géométrie différentielle, une connexion de Ehresmann (d après le mathématicien français Charles Ehresmann qui a le premier formalisé ce concept) est une version de la notion de connexion qui est définie sur des fibrés. En particulier, elle… … Wikipédia en Français
