THE BASIC PRINCIPLES OF LEVIS4D

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wherever gab would be the representation of your metric in that coordinate program. We can equally contemplate a contravariant Levi-Civita tensor by raising the indices Along with the metric as normal,E α β γ δ = g α ζ g β η g γ θ g δ ι E ζ η θ ι . displaystyle E^ alpha beta gamma delta =g^ alpha zeta g^ beta eta g^ gamma theta g^ d