Pullback
What is the pullback of ▽f·▽g?
In one dimension we have φ*(f'g') = (φ')²(φ*f')(φ*g').
What about in two and three dimensions? Is there a nice formula like in one dimension?
φ*(▽f·▽g) = ?
Refer to this link to answer your problem: http://en.wikipedia.org/wiki/Pullback_%28differential_geometry%29
Good luck!
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