Concept information
Terme préférentiel
Levi-Civita connection
Définition(s)
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In Riemannian or pseudo-Riemannian geometry (in particular the Lorentzian geometry of general relativity), the Levi-Civita connection is the unique affine connection on the tangent bundle of a manifold (i.e. affine connection) that preserves the (pseudo-)Riemannian metric and is torsion-free. The fundamental theorem of Riemannian geometry states that there is a unique connection which satisfies these properties.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Levi-Civita_connection)
Concept(s) générique(s)
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-JPVR4WNN-N
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