- four-dimensional manifold
- мат. четырехмерное многообразие
Большой англо-русский и русско-английский словарь. 2001.
four-dimensional 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
4-manifold — In mathematics, 4 manifold is a 4 dimensional topological manifold. A smooth 4 manifold is a 4 manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different.… … 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
Einstein manifold — In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo Riemannian manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein because this condition is equivalent to… … Wikipedia
G2 manifold — A G 2 manifold is a seven dimensional Riemannian manifold with holonomy group G 2. The group G 2 is one of the five exceptional simple Lie groups. It can be described as the automorphism group of the octonions, or equivalently, as a proper… … Wikipedia
Mazur manifold — In differential topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth 4 dimensional manifold which is not diffeomorphic to the standard 4 ball. The boundary of a Mazur manifold is necessarily a homology 3 sphere.… … Wikipedia
N-dimensional space — In mathematics, an n dimensional space is a topological space whose dimension is n (where n is a fixed natural number). The archetypical example is n dimensional Euclidean space, which describes Euclidean geometry in n dimensions.Many familiar… … Wikipedia
E₈ manifold — In mathematics, the E8 manifold is the unique compact, simply connected topological 4 manifold with intersection form the E 8 lattice. The E8 manifold was discovered by Michael Freedman in 1982. Rokhlin s theorem shows that it has no smooth… … Wikipedia
Low-dimensional topology — In mathematics, low dimensional topology is the branch of topology that studies manifolds of four or fewer dimensions. Representative topics are the structure theory of 3 manifolds and 4 manifolds, knot theory, and braid groups. It can be… … 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
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
