foliated manifold

foliated manifold
мат. расслоенное многообразие

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

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  • Affine manifold — In differential geometry, an affine manifold is a manifold equipped with a flat, torsion free connection. Equivalently, it is a manifold that is (if connected) covered by an open subset of {Bbb R}^n, with monodromy acting by affine… …   Wikipedia

  • leafspace — noun A topological space that is the quotient of a laminated or foliated manifold by identification of each leaf, and each closed complementary r …   Wiktionary

  • 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

  • Causal structure — This article is about the possible causal relationships among points in a Lorentzian manifold. For classification of Lorentzian manifolds according to the types of causal structures they admit, see Causality conditions. In mathematical physics,… …   Wikipedia

  • Pp-wave spacetime — In general relativity, the pp wave spacetimes, or pp waves for short, are an important family of exact solutions of Einstein s field equation. These solutions model radiation moving at the speed of light. This radiation may consist of:*… …   Wikipedia

  • Novikov's compact leaf theorem — In mathematics, Novikov s compact leaf theorem, named after Sergei Novikov, states that A codimension one foliation of a compact 3 manifold whose universal covering space is not contractible must have a compact leaf. Novikov s compact leaf… …   Wikipedia

  • Courant bracket — In a field of mathematics known as differential geometry, the Courant bracket is a generalization of the Lie bracket from an operation on the tangent bundle to an operation on the direct sum of the tangent bundle and the vector bundle of p forms …   Wikipedia


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