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:
“There is no doubt that the loftiest written wisdom is either rhymed or in some way musically measured,—is, in form as well as substance, poetry; and a volume which should contain the condensed wisdom of mankind need not have one rhythmless line.”
—Henry David Thoreau (1817–1862)