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:
“I had very good dentures once. Some magnificent gold work. It’s the only form of jewelry a man can wear that women fully appreciate.”
—Graham Greene (1904–1991)