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Minkowski space is 4-dimensional Euclidean space (i.e., the set of points  <math>(x,y,z,t)</math>) together with the metric:

'''Minkowski space''' is 4-dimensional [[Euclidean space]] (i.e., the set of points  <math>(x,y,z,t)</math>) together with the [[metric]]:

<math>

<math>

</math>

</math>

A vector ''v'' in Minkowski space is said to be time-like if <math>||v||^2 > 0</math>, light-like if <math>||v||^2 = 0</math> and space-like if <math>||v||^2 < 0</math>. The isometries of Minkowski space are the [[Lorentz transformation]]s.

A [[vector]] ''v'' in Minkowski space is said to be [[time]]-like if <math>||v||^2 > 0</math>, [[light]]-like if <math>||v||^2 = 0</math> and [[space]]-like if <math>||v||^2 < 0</math>. The [[isometry|isometries]] of Minkowski space are the [[Lorentz transformation]]s.