up:: Galilean Space
A galilean transformation is an Affine Map from a Galilean Space to itself, which preserves its Galilean Structure.
Examples of Galilean Transformations
- Since Translations in affine spaces are affine automorphisms, then they’re trivially galilean transformations
References
- newtonian mechanics - Every Galilean transformation can be written as the composition of rotation, translation, and uniform motion - Physics Stack Exchange
- group theory - Please help to understand a proof that any Galilean transformation can be written as composition of three (standard) transformations - Mathematics Stack Exchange