There was no linear connection to CARE.
Principal connections generalize to arbitrary principal bundles the concept of a linear connection on the frame bundle of a smooth manifold.
Mr. Desrosiers plays "Doubleman," as the hero is called, and he is the connecting thread between various sections that, typically, have no linear connection.
Thus, every affine connection on a vector bundle is a sum of a linear connection and a basic soldering form on .
This property, allied with the smoothness of the spacetime, gives rise to a smooth linear connection, an important structure in general relativity.
In gauge gravitation theory on a world manifold , one can consider an affine, but not linear connection on the tangent bundle of .
The two meanings overlap, for example, in the notion of a linear connection on the tangent bundle of a manifold.
(Today, any linear connection between two physical vector quantities is called a tensor, reflecting Cauchy's original use to describe the "tensions" (stresses) in a material.)
The episode in which Charlotte auditions were aired did not show the tirade; the minor conflict shown appear to have no linear connection with the leaked footage.
Note there is a link between linear connection (also called affine connection) and a web.