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Consider a metric in a D-dimensional space. Simplify the following expressions, i.e. the result may be a function of D, a simple tensor that you should identify, or even a vanishing one.

expressions on picture.

a)
b)
c)
d)
e)
gu gvp
gguv
Ꮴ
(V#V° = gv V2)V
=
g ( AB - BA)
gvg° ( AB - gugvAP B° )
ע

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