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Conformal connection : ウィキペディア英語版
Conformal connection
In conformal differential geometry, a conformal connection is a Cartan connection on an ''n''-dimensional manifold ''M'' arising as a deformation of the Klein geometry given by the celestial ''n''-sphere, viewed as the homogeneous space
:O+(n+1,1)/''P''
where ''P'' is the stabilizer of a fixed null line through the origin in R''n''+2, in the orthochronous Lorentz group O+(n+1,1) in ''n''+2 dimensions.
==Normal Cartan connection==
Any manifold equipped with a conformal structure has a canonical conformal connection called the normal Cartan connection.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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