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. Any manifold equipped with a conformal structure has a canonical conformal connection called the normal Cartan connection.

Read more about Conformal Connection:  Formal Definition

Famous quotes containing the word connection:

    Self-expression is not enough; experiment is not enough; the recording of special moments or cases is not enough. All of the arts have broken faith or lost connection with their origin and function. They have ceased to be concerned with the legitimate and permanent material of art.
    Jane Heap (c. 1880–1964)