@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

psr:-N8NPR5RD-D
  skos:prefLabel "transport parallèle"@fr, "parallel transport"@en ;
  a skos:Concept ;
  skos:broader psr:-SCLK8DJ2-L .

psr:-CN4HP5Z7-7
  skos:prefLabel "affine connection"@en, "connexion affine"@fr ;
  a skos:Concept ;
  skos:broader psr:-SCLK8DJ2-L .

psr: a skos:ConceptScheme .
psr:-SCLK8DJ2-L
  skos:narrower psr:-JPVR4WNN-N, psr:-N8NPR5RD-D, psr:-CN4HP5Z7-7 ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Connection_(mathematics)>, <https://fr.wikipedia.org/wiki/Connexion_(math%C3%A9matiques)> ;
  skos:definition """In geometry, the notion of a connection makes precise the idea of transporting local geometric objects, such as tangent vectors or tensors in the tangent space, along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Connection_(mathematics)">https://en.wikipedia.org/wiki/Connection_(mathematics)</a>)"""@en, """En géométrie différentielle, la connexion est un outil pour réaliser le transport parallèle. Il existe plusieurs présentations qui dépendent de l'utilisation faite. Cette notion a été développée au début des années 1920 par Élie Cartan et Hermann Weyl (avec comme cas particulier celle de connexion affine), puis reformulée en 1951 par Charles Ehresmann et Jean-Louis Koszul. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Connexion_(math%C3%A9matiques)">https://fr.wikipedia.org/wiki/Connexion_(math%C3%A9matiques)</a>)"""@fr ;
  skos:broader psr:-V0G085HP-P ;
  skos:prefLabel "connexion"@fr, "connection"@en ;
  a skos:Concept ;
  skos:inScheme psr: .

psr:-V0G085HP-P
  skos:prefLabel "differential geometry"@en, "géométrie différentielle"@fr ;
  a skos:Concept ;
  skos:narrower psr:-SCLK8DJ2-L .

psr:-JPVR4WNN-N
  skos:prefLabel "connexion de Levi-Civita"@fr, "Levi-Civita connection"@en ;
  a skos:Concept ;
  skos:broader psr:-SCLK8DJ2-L .

