@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-VX20K4H9-G
  skos:prefLabel "hyperbolic geometry"@en, "géométrie hyperbolique"@fr ;
  a skos:Concept ;
  skos:narrower psr:-RSS68597-V .

psr:-S78CS2MJ-M
  skos:prefLabel "variété riemannienne"@fr, "Riemannian manifold"@en ;
  a skos:Concept ;
  skos:related psr:-RSS68597-V .

psr:-V2DP2SGJ-N
  skos:prefLabel "déplacement hyperbolique"@fr, "hyperbolic motion"@en ;
  a skos:Concept ;
  skos:broader psr:-RSS68597-V .

psr:-RSS68597-V
  skos:related psr:-S78CS2MJ-M ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Hyperbolic_space> ;
  skos:inScheme psr: ;
  skos:definition """In mathematics, hyperbolic space of dimension n is the unique simply connected, n-dimensional Riemannian manifold of constant sectional curvature equal to -1. It is homogeneous, and satisfies the stronger property of being a symmetric space. There are many ways to construct it as an open subset of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\mathbb {R} ^{n}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">R</mi>
         </mrow>
         <mrow class="MJX-TeXAtom-ORD">
         <mi>n</mi>
         </mrow>
         </msup>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} ^{n}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c510b63578322050121fe966f2e5770bea43308d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.897ex; height:2.343ex;" alt="\\\\mathbb {R} ^{n}"></span> with an explicitly written Riemannian metric; such constructions are referred to as models. Hyperbolic 2-space, <b>H</b><sup>2</sup>, which was the first instance studied, is also called the hyperbolic plane. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Hyperbolic_space">https://en.wikipedia.org/wiki/Hyperbolic_space</a>)"""@en ;
  skos:broader psr:-M3NJVVTK-V, psr:-VX20K4H9-G ;
  skos:altLabel "Bolyai-Lobachevsky space"@en, "Lobachevsky space"@en ;
  dc:modified "2023-08-31"^^xsd:date ;
  skos:prefLabel "espace hyperbolique"@fr, "hyperbolic space"@en ;
  skos:narrower psr:-V2DP2SGJ-N ;
  a skos:Concept .

psr:-M3NJVVTK-V
  skos:prefLabel "homogeneous space"@en, "espace homogène"@fr ;
  a skos:Concept ;
  skos:narrower psr:-RSS68597-V .

psr: a skos:ConceptScheme .