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:
“In philosophy if you aren’t moving at a snail’s pace you aren’t moving at all.”
—Iris Murdoch (b. 1919)
“In frames as large as rooms that face all ways
And block the ends of streets with giant loaves,
Screen graves with custard, cover slums with praise
Of motor-oil and cuts of salmon, shine
Perpetually these sharply-pictured groves
Of how life should be.”
—Philip Larkin (1922–1986)