Lecture 1F, 08 Jan 1999
2. The tangent bundle
| Here we flatten the state space, S, into a straight line, and rotate the tangent space at the point, p, to vertical. The two-dimensional space thus constructed is the tangent bundle of S. |
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| This graph of a function in the tangent bundle assigns a tangent vector to every point of the state space. This is a vectorfield on S. |
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