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 learn through experience and experiencing, and no one teaches anyone anything. This is as true for the infant moving from kicking to crawling to walking as it is for the scientist with his equations. If the environment permits it, anyone can learn whatever he chooses to learn; and if the individual permits it, the environment will teach him everything it has to teach.”
—Viola Spolin (b. 1911)
“... though it is by no means requisite that the American women should emulate the men in the pursuit of the whale, the felling of the forest, or the shooting of wild turkeys, they might, with advantage, be taught in early youth to excel in the race, to hit a mark, to swim, and in short to use every exercise which could impart vigor to their frames and independence to their minds.”
—Frances Wright (1795–1852)