quotient manifold

См. также в других словарях:

• 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

• Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …   Wikipedia

• Spherical 3-manifold — In mathematics, a spherical 3 manifold M is a 3 manifold of the form M = S3 / Γ where Γ is a finite subgroup of SO(4) acting freely by rotations on the 3 sphere S3. All such manifolds are prime, orientable, and closed. Spherical 3 manifolds are… …   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

• Non-Hausdorff manifold — In mathematics, it is a usual axiom of a manifold to be a Hausdorff space, and this is assumed throughout geometry and topology: manifold means (second countable) Hausdorff manifold . In general topology, this axiom is relaxed, and one studies… …   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

• 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

• Quaternion-Kähler manifold — In differential geometry, a quaternion Kähler manifold (or quaternionic Kähler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp( n )·Sp(1). Another, more explicit, definition, uses a 3 dimensional subbundle H …   Wikipedia

• Hyperbolic 3-manifold — A hyperbolic 3 manifold is a 3 manifold equipped with a complete Riemannian metric of constant sectional curvature 1. In other words, it is the quotient of three dimensional hyperbolic space by a subgroup of hyperbolic isometries acting freely… …   Wikipedia

• Vacuum manifold — In quantum field theory, the vacuum state may be degenerate. Each pure vacuum state generates its own superselection sector. The space of all pure vacuum states often has a manifold structure and is called the vacuum manifold.Vacuum manifolds… …   Wikipedia

• Hopf manifold — In complex geometry, Hopf manifold is obtainedas a quotient of the complex vector space(with zero deleted) ({Bbb C}^nackslash 0)by a free action of the group Gamma cong {Bbb Z} of integers, with the generator gamma of Gamma acting by holomorphic …   Wikipedia