Curvature Form
The curvature form of a principal G-connection ω is the -valued 2-form Ω defined by
It is G-equivariant and horizontal, hence corresponds to a 2-form on M with values in . The identification of the curvature with this quantity is sometimes called the second structure equation.
Read more about this topic: Connection (principal Bundle)
Famous quotes containing the word form:
“Is civilization only a higher form of idolatry, that man should bow down to a flesh-brush, to flannels, to baths, diet, exercise, and air?”
—Mary Baker Eddy (1821–1910)