1
$\begingroup$

I understand that inner product requires positive-definiteness while metric tensor only requires non-degeneracy. But what intuition does the metric tensor definition serve?

$\endgroup$
1
1
$\begingroup$

The standard example of a metric tensor that is not positive definite is the Lorentz metric of space-time.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.