Lie derivative (for vector fields)
Let be a smooth manifold, and smooth vector fields on . Let be the flow of , where is an open neighborhood of . We make use of the following notation:
and we introduce the auxiliary maps and defined as
The following result is not immediate at all.
Theorem 1
, where is the Lie bracket of and .
Title | Lie derivative (for vector fields) |
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Canonical name | LieDerivativeforVectorFields |
Date of creation | 2013-03-22 14:09:59 |
Last modified on | 2013-03-22 14:09:59 |
Owner | matte (1858) |
Last modified by | matte (1858) |
Numerical id | 9 |
Author | matte (1858) |
Entry type | Definition |
Classification | msc 53-00 |
Defines | Lie derivative |