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 Lie derivative of along is the vector field defined by
where if the push-forward of , i.e.
The following result is not immediate at all.
, where is the Lie bracket of and .
|Title||Lie derivative (for vector fields)|
|Date of creation||2013-03-22 14:09:59|
|Last modified on||2013-03-22 14:09:59|
|Last modified by||matte (1858)|