- real manifold
- мат. вещественное многообразие
Большой англо-русский и русско-английский словарь. 2001.
real manifold
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Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… … Wikipedia
Real projective plane — In mathematics, the real projective plane is the space of lines in R3 passing through the origin. It is a non orientable two dimensional manifold, that is, a surface, that has basic applications to geometry, but which cannot be embedded in our… … Wikipedia
Real projective space — In mathematics, real projective space, or RP n is the projective space of lines in R n +1. It is a compact, smooth manifold of dimension n , and a special case of a Grassmannian.ConstructionAs with all projective spaces, RP n is formed by taking… … Wikipedia
Manifold (automotive) — In automotive engineering, an intake manifold or inlet manifold is the part of an engine that supplies the fuel/air mixture to the cylinders. An exhaust manifold or header collects the exhaust gases from multiple cylinders into one pipe. The word … Wikipedia
Real line — In mathematics, the real line is simply the set R of singleton real numbers.However, this term is usually used when R is to be treated as a space of some sort, such as a topological space or a vector space.The real line has been studied at least… … Wikipedia
Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… … Wikipedia
Complex manifold — In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk[1] in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense… … Wikipedia
Lefschetz manifold — In mathematics, a Lefschetz manifold is a particular kind of symplectic manifold.DefinitionsLet M be a (2n) dimensional smooth manifold. Each element: [omega] in H {DR}^2 (M) of the second de Rham cohomology space of M induces a map :L { [omega]… … Wikipedia
CR manifold — In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a… … Wikipedia
Calabi–Yau manifold — In mathematics, Calabi ndash;Yau manifolds are compact Kähler manifolds whose canonical bundle is trivial. They were named Calabi ndash;Yau spaces by physicists in 1985, [cite journal | author = Candelas, Horowitz, Strominger and Witten | year =… … Wikipedia
Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define … Wikipedia
