Minkowski space
Minkowski space^{} is a 4 dimensional real vector space with a nondegenerate pseudometric of signature $(+++)$.
More precisely, $M$ with a metric $g$ is a Minkowski space iff:

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$M$ is a 4 dimensional real vector space

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$g$ is a symmetric^{} 2covariant tensor (defines a quadratic form^{} )

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$g$ is nondegenerate (i.e. $\forall x\in M,g(x,y)=0\u27f9y=0$)

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the diagonalization (http://planetmath.org/SylvestersLaw) of $g$ contains one negative and three positive diagonal entries^{1}^{1}this convention is sometimes reversed depending on notation.
Title  Minkowski space 

Canonical name  MinkowskiSpace 
Date of creation  20130322 16:16:51 
Last modified on  20130322 16:16:51 
Owner  cvalente (11260) 
Last modified by  cvalente (11260) 
Numerical id  7 
Author  cvalente (11260) 
Entry type  Definition 
Classification  msc 53Z05 
Related topic  PseudoRiemannianManifold 