# Minkowski space

Minkowski space is a 4 dimensional real vector space with a non-degenerate pseudo-metric of signature $(-+++)$.

More precisely, $M$ with a metric $g$ is a Minkowski space iff:

• $M$ is a 4 dimensional real vector space

• $g$ is a symmetric 2-covariant tensor (defines a quadratic form )

• $g$ is non-degenerate (i.e. $\forall{x\in M},g(x,y)=0\implies y=0$)

• the diagonalization (http://planetmath.org/SylvestersLaw) of $g$ contains one negative and three positive diagonal entries11this convention is sometimes reversed depending on notation.

Title Minkowski space MinkowskiSpace 2013-03-22 16:16:51 2013-03-22 16:16:51 cvalente (11260) cvalente (11260) 7 cvalente (11260) Definition msc 53Z05 PseudoRiemannianManifold