parallelizable manifold

parallelizable manifold
мат. параллелизуемое многообразие

Большой англо-русский и русско-английский словарь. 2001.

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  • Parallelizable manifold — In mathematics, a parallelizable manifold M is a smooth manifold of dimension n having vector fields: V 1, ..., V n , such that at any point P of M the tangent vectors: V i , P provide a basis of the tangent space at P . Equivalently, the tangent …   Wikipedia

  • Hilbert manifold — In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

  • Teleparallelism — (also called distant parallelism and teleparallel gravity), was an attempt by Einstein to unify electromagnetism and gravity. The idea is to use a geometry with a pseudo Riemannian metric of signature (3,1), vanishing curvature, and non vanishing …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • N-sphere — can project a sphere s surface to a plane, it can also project a 3 sphere s surface into 3 space. This image shows three coordinate directions projected to 3 space:parallels (red), meridians (blue) and hypermeridians (green).Due to the conformal… …   Wikipedia

  • n-sphere — 2 sphere wireframe as an orthogonal projection Just as a …   Wikipedia

  • Glossary of differential geometry and topology — This is a glossary of terms specific to differential geometry and differential topology. The following two glossaries are closely related: *Glossary of general topology *Glossary of Riemannian and metric geometry.See also: *List of differential… …   Wikipedia

  • 3-sphere — Stereographic projection of the hypersphere s parallels (red), meridians (blue) and hypermeridians (green). Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles …   Wikipedia

  • Classification of manifolds — In mathematics, specifically geometry and topology, the classification of manifolds is a basic question, about which much is known, and many open questions remain. Contents 1 Main themes 1.1 Overview 1.2 Different categories and additional… …   Wikipedia

  • Tangent bundle — In mathematics, the tangent bundle of a smooth (or differentiable) manifold M , denoted by T ( M ) or just TM , is the disjoint unionThe disjoint union assures that for any two points x 1 and x 2 of manifold M the tangent spaces T 1 and T 2 have… …   Wikipedia


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