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Homework Statement
Consider the two-dimensional space given by
[tex]ds^2 = e^y dx^2 + e^x dy^2[/tex]
Calculate the covariant and contravariant components of the metric tensor for this
spacetime.
The Attempt at a Solution
Are the covariant components just [tex]e^y[/tex] and [tex]e^x[/tex] with the contravariant components being [tex]1/e^y[/tex] and [tex]1/e^x[/tex]?