I know that: [tex]g(a u\otimes v) = a g(u\otimes v)[/tex](adsbygoogle = window.adsbygoogle || []).push({});

where u and v are vectors and a is a constant, but what if a is a scalar field, is this rule also true?

ie. how do I interpret the expression:

[tex]g(f u\otimes u + v\otimes v)[/tex]

where u and v are vector fields and f is a scalar field?

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# Metric tensor

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