Hi there, i have a lot of question about Lorentz-Minkowski geometry:(adsbygoogle = window.adsbygoogle || []).push({});

Is Lorentz metric degenere or non-degenere? Why?

1)

2)In spacelike subspaces only spacelike vectors live in it there is not problem here but how can

we say that timelike subspaces include null and spacelike vectors and lightlike subspaces include

spacelike vector?

3)Let E_{1}spacelike and E_{2}timelike vector then E_{1}+E_{2}is null vector, proof...?

4)If Sp{E_{1},E_{2}} spacelike, Sp{E_{1},E_{3}} and Sp{E_{2},E_{3}}

are timelike planes Sp{E_{1},E_{2}+E_{3}} is lightlike plane?

5)E_{1}+E_{2}+E_{3}is spacelike vector but

Sp{E_{1},E_{1}+E_{2}+E_{3}} is lightlike plane?

6)E_{2}+E_{3}is lightlike vector but Sp{E_{2}+E_{3},E_{3}} is timelike plane?

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# A Lot of Basic Question About Lorentz-Minkowski Geometry

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