KnowraAffine connectionLinked fromLinked fromThe 12 pages that link to Affine connection, each with the reason it gives.All 12Broader topic 1Related 7Narrower topic 4GeodesicRelated: It defines parallel transport, the operation underlying the geodesic equation.Riemann curvature tensorRelated: A connection supplies the covariant derivatives whose commutator defines curvature.Affine spaceRelated: It extends affine ideas about parallel displacement to curved spaces.Exponential mapRelated: It specifies parallel transport and determines which curves count as geodesics.Tensor calculusRelated: Its coefficients supply the correction terms in covariant derivatives.Tullio Levi-CivitaRelated: Levi-Civita’s work helped establish connections as tools for expressing geometric differentiation.Classical unified field theoriesRelated: Some unified theories enlarged the connection to carry electromagnetic degrees of freedom.