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 Rⁿ⁺², in the orthochronous Lorentz group O⁺(n+1,1) in n+2 dimensions.