Given that:

$\displaystyle g_{ij}=E_i \cdot E_j $

is it true and how would I show that:

$\displaystyle g^{ij}=E^i \cdot E^j $

I am sure that this should be easy, but my brain is fried.

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- Mar 2nd 2009, 07:14 PMKiwi_DaveConjugate Metric Tensor
Given that:

$\displaystyle g_{ij}=E_i \cdot E_j $

is it true and how would I show that:

$\displaystyle g^{ij}=E^i \cdot E^j $

I am sure that this should be easy, but my brain is fried.