Hi, by saying "covariant metic" I mean writing the metric in its covariant form - basically g(contra)=[g(cov)]^(-1)
you can use the metric to lower/raise an index on a vector component but here e_j and e^k are not components but the actual unit vectors.
Hi, by saying "covariant metic" I mean writing the metric in its covariant form - basically g(contra)=[g(cov)]^(-1)
you can use the metric to lower/raise an index on a vector component but here e_j and e^k are not components but the actual unit vectors.
Homework Statement
e_j=g_(jk)e^k
where e_j is a covariant vector base
e^k is a a contravariant vector base
g_(jk) is the covariant metric
Homework Equations
The Attempt at a Solution