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manifold line

См. также в других словарях:

  • Line field — In mathematics, a line field on a manifold is a choice of a line in the tangent space to the manifold at each point, i.e. a section of the line bundle over the manifold. Line fields are of particular interest in the study of complex dynamical… …   Wikipedia

  • 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 Way — Thor s Cave, viewed from the Manifold Way A typical view lookin …   Wikipedia

  • Line bundle — In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space. For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising… …   Wikipedia

  • Line coordinates — In geometry, line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position of a point. Contents 1 Lines in the plane 2 Tangential equations 3 Tangential equation of… …   Wikipedia

  • Line at infinity — Ideal line redirects here. For the ideal line in racing, see Racing line. In geometry and topology, the line at infinity is a line which is added to the real (affine) plane in order to give closure to, and remove the exceptional cases from, the… …   Wikipedia

  • Line element — A line element in mathematics can most generally be thought of as the square of the change in a position vector in an affine space equated to the square of the change of the arc length. An easy way of visualizing this relationship is by… …   Wikipedia

  • Leek and Manifold Valley Light Railway — Infobox rail railroad name=Leek and Manifold Valley Light Railway gauge=RailGauge|30 start year=1904 end year=1934 length=8 frac14; miles hq city=Leek locale=England successor=AbandonedThe Leek and Manifold Valley Light Railway (L MVLR) was a… …   Wikipedia

  • Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …   Wikipedia

  • Long line (topology) — In topology, the long line (or Alexandroff line) is a topological space analogous to the real line, but much longer. Because it behaves locally just like the real line, but has different large scale properties, it serves as one of the basic… …   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

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