Galilean coordinate system
A system of coordinates in a pseudo-Euclidean space in which the line element has the form:
where $e_i=\pm1$. The Galilean coordinate system is analogous to the Cartesian coordinate system in a Euclidean space. The name originates from the applications of the Galilean reference system (cf. Inertial system).
Galilean coordinate system. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Galilean_coordinate_system&oldid=31906