Moving Tangent Frames
The most commonly encountered case of a moving frame is for the bundle of tangent frames (also called the frame bundle) of a manifold. In this case, a moving tangent frame on a manifold M consists of a collection of vector fields X1, X2, ..., Xn forming a basis of the tangent space at each point of an open set U ⊂ M.
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Famous quotes containing the words moving and/or frames:
“We joined long wagon trains moving south; we met hundreds of wagons going north; the roads east and west were crawling lines of families traveling under canvas, looking for work, for another foothold somewhere on the land.... The country was ruined, the whole world was ruined; nothing like this had ever happened before. There was no hope, but everyone felt the courage of despair.”
—Rose Wilder Lane (18861968)
“... 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 (17951852)