Moving Frames
The Darboux frame is an example of a natural moving frame defined on a surface. With slight modifications, the notion of a moving frame can be generalized to a hypersurface in an n-dimensional Euclidean space, or indeed any embedded submanifold. This generalization is among the many contributions of Élie Cartan to the method of moving frames.
Read more about this topic: Darboux Frame
Famous quotes containing the words moving and/or frames:
“We are all talkers
It is true, but underneath the talk lies
The moving and not wanting to be moved, the loose
Meaning, untidy and simple like a threshing floor.”
—John Ashbery (b. 1927)
“For laughter frames the lips of death—
Death frames the Singer and the Song.”
—Allen Tate (1899–1979)