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:
“A self is, by its very essence, a being with a past. One must look lengthwise backwards in the stream of time in order to see the self, or its shadow, now moving with the stream, now eddying in the currents from bank to bank of its channel, and now strenuously straining onwards in the pursuit of its chosen good.”
—Josiah Royce (1855–1916)
“The bird would cease and be as other birds
But that he knows in singing not to sing.
The question that he frames in all but words
Is what to make of a diminished thing.”
—Robert Frost (1874–1963)