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orientable 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

  • 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

  • Haken manifold — In mathematics, a Haken manifold is a compact, P² irreducible 3 manifold that contains a two sided incompressible surface. Sometimes one considers only orientable Haken manifolds, in which case a Haken manifold is a compact, orientable,… …   Wikipedia

  • Weeks manifold — In mathematics, the Weeks manifold, sometimes called the Fomenko Matveev Weeks manifold, is a closed hyperbolic 3 manifold obtained by (5,2) and (5,1) Dehn surgeries on the Whitehead link. It has volume approximately equal to .9427... and has the …   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

  • Prime decomposition (3-manifold) — In mathematics, the prime decomposition theorem for 3 manifolds states that every compact, orientable 3 manifold is the connected sum of a unique (up to homeomorphism) collection of prime 3 manifolds.A manifold is prime if it cannot be presented… …   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

  • Intersection form (4-manifold) — In mathematics, the intersection form of an oriented compact 4 manifold is a special symmetric bilinear form on the 2nd cohomology group of the 4 manifold. It reflects much of the topology of the 4 manifolds, including information on the… …   Wikipedia

  • Density on a manifold — In mathematics, and specifically differential geometry, a density is a spatially varying quantity on a differentiable manifold which can be integrated in an intrinsic manner. Abstractly, a density is a section of a certain trivial line bundle,… …   Wikipedia

  • Almost complex manifold — In mathematics, an almost complex manifold is a smooth manifold equipped with smooth linear complex structure on each tangent space. The existence of this structure is a necessary, but not sufficient, condition for a manifold to be a complex… …   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

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