Fibered manifold

Fibered manifold

In mathematics, a fibered manifold is a manifold "M" together with a surjective submersion to another manifold "F".


*Every fiber bundle is a fibered manifold.

Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Manifold decomposition — In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must specify both what those pieces are and how they are put together to form M. Manifold… …   Wikipedia

  • Virtually fibered conjecture — In the mathematical subfield of 3 manifolds, the virtually fibered conjecture of Thurston states: every closed, irreducible, atoroidal 3 manifold with infinite fundamental group has a finite cover which is a surface bundle over the circle. A 3… …   Wikipedia

  • 3-manifold — In mathematics, a 3 manifold is a 3 dimensional manifold. The topological, piecewise linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3… …   Wikipedia

  • Hypercomplex manifold — In differential geometry, a hypercomplex manifold is a manifold with the tangent bundleequipped with an action by the algebra of quaternionsin such a way that the quaternions I, J, Kdefine integrable almost complex structures. Examples Every… …   Wikipedia

  • F-theory — is a branch of string theory developed by Cumrun Vafa. The new vacua described as F theory were discovered by Vafa, and it also allowed string theorists to construct new realistic vacua mdash; in the form of F theory compactified on elliptically… …   Wikipedia

  • List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …   Wikipedia

  • Jet (mathematics) — In mathematics, the jet is an operation which takes a differentiable function f and produces a polynomial, the truncated Taylor polynomial of f , at each point of its domain. Although this is the definition of a jet, the theory of jets regards… …   Wikipedia

  • Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… …   Wikipedia

  • Seifert fiber space — A Seifert fiber space is a 3 manifold together with a nice decomposition as a disjoint union of circles. In other words it is a S^1 bundle (circle bundle) over a 2 dimensional orbifold. Most small 3 manifolds are Seifert fiber spaces, and they… …   Wikipedia

  • JSJ decomposition — In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: Irreducible orientable closed (i.e., compact and without boundary) 3 manifolds have a unique (up to isotopy)… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”