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## Main Question or Discussion Point

My understanding of the Einstein Summation convention is that you sum over the repeated indices. But when I look at the metric tensor for a flat space I know that

g[itex]^{λ}_{λ}[/itex] = 1

But the summation convention makes me think that it should equal the trace of the matrix g_{μσ}. So it should be the number of dimensions of the space?

g[itex]^{λ}_{λ}[/itex] = 1

But the summation convention makes me think that it should equal the trace of the matrix g_{μσ}. So it should be the number of dimensions of the space?