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n-dimensional submanifold

См. также в других словарях:

  • Submanifold — In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S rarr; M satisfies certain properties. There are different types of submanifolds depending on exactly which …   Wikipedia

  • Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − …   Wikipedia

  • Foliation — In mathematics, a foliation is a geometric device used to study manifolds. Informally speaking, a foliation is a kind of clothing worn on a manifold, cut from a striped fabric. On each sufficiently small piece of the manifold, these stripes give… …   Wikipedia

  • Calibrated geometry — In the mathematical field of differential geometry, a calibrated geometry is a Riemannian manifold ( M , g ) of dimension n equipped with a differential p form phi; (for some 0 ≤ p ≤ n ) which is a calibration in the sense that * phi; is closed:… …   Wikipedia

  • Cheeger constant — This article discusses the Cheeger isoperimetric constant and Cheeger s inequality in Riemannian geometry. For a different use, see Cheeger constant (graph theory). In Riemannian geometry, the Cheeger isoperimetric constant of a compact… …   Wikipedia

  • Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …   Wikipedia

  • Handle decomposition — In mathematics, a handle decomposition of an n manifold M is a representation of that manifold as an exhaustion:M 0 subset M 1 subset dots subset Mwhere each M i is obtained from M {i 1}by attaching a n i handle. Handle decompositions are never… …   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

  • Exponential map — In differential geometry, the exponential map is a generalization of the ordinary exponential function of mathematical analysis to all differentiable manifolds with an affine connection. Two important special cases of this are the exponential map …   Wikipedia

  • Stress-energy-momentum pseudotensor — In the theory of general relativity, a stress energy momentum pseudotensor, such as the Landau Lifshitz pseudotensor, is an extension of the non gravitational stress energy tensor which incorporates the energy momentum of gravity. It allows the… …   Wikipedia

  • Scott core theorem — In mathematics, the Scott core theorem is a theorem about the finite presentability of fundamental groups of 3 manifolds due to G. Peter Scott, (Scott 1973). The precise statement is as follows: Given a 3 manifold (not necessarily compact) with… …   Wikipedia

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