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

单词	MinkowskiSpace
释义	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.
随便看	OrderedRing ordered ring OrderedSpace ordered space OrderedTopologicalVectorSpace ordered topological vector space OrderedTree ordered tree OrderedTuplet ordered tuplet OrderedVectorSpace ordered vector space OrderIdeal order ideal OrderInAnAlgebra order in an algebra OrderingOfSelfadjoints ordering of self-adjoints OrderingOnCardinalities ordering on cardinalities OrderingRelation ordering relation OrderlyNumber orderly number OrderNConstantCoefficientDifferentialEquationsAndMatrixExponential