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.
Read more about this topic: Moving Frame
Famous quotes containing the words moving and/or frames:
“O what venerable and reverend creatures did the aged seem! Immortal Cherubims! And young men glittering and sparkling Angels, and maids strange seraphic pieces of life and beauty! Boys and girls tumbling in the street, and playing, were moving jewels. I knew not that they were born or should die; but all things abided eternally as they were in their proper places.”
—Thomas Traherne (1636–1674)
“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)