1.Previous
3.Next

of corresponding to the variation assigns to every the tangent vector

In terms of the tangent map,

Here is the tangent map of where and

Properties

* Coordinate representation. If are the coordinates in an arbitrary chart on and then
* If, for some time instant and every then, for every
* If then

Examples

Free particle in R³

A single particle freely moving in has 3 degrees

1.Previous
3.Next