smooth foliation
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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
Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms … 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
William Thurston — Infobox Scientist name = William Thurston birth date = birth date and age|1946|10|30 birth place = death date = death place = residence = citizenship = nationality = American ethnicity = field = mathematics work institutions = Cornell University … Wikipedia
metamorphic rock — Any of a class of rocks that result from the alteration of preexisting rocks in response to changing geological conditions, including variations in temperature, pressure, and mechanical stress. The preexisting rocks may be igneous, sedimentary,… … Universalium
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
glacier — glaciered, adj. /glay sheuhr/, n. an extended mass of ice formed from snow falling and accumulating over the years and moving very slowly, either descending from high mountains, as in valley glaciers, or moving outward from centers of… … Universalium
First class constraint — In Hamiltonian mechanics, consider a symplectic manifold M with a smooth Hamiltonian over it (for field theories, M would be infinite dimensional). Poisson bracketsSuppose we have some constraints : f i(x)=0, for n smooth functions :{ f i } {i=… … Wikipedia
Lie groupoid — In mathematics, a Lie groupoid is a groupoid where the set Ob of objects and the set Mor of morphisms are both manifolds, the source and target operations:s,t : Mor o Ob are submersions, and all the category operations (source and target,… … Wikipedia
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
permafrost — /perr meuh frawst , frost /, n. (in arctic or subarctic regions) perennially frozen subsoil. Also called pergelisol. [1943; PERMA(NENT) + FROST] * * * Perennially frozen earth, with a temperature below 32 °F (0 °C) continuously for two years or… … Universalium
