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$\begingroup$ "When the symbols are non-zero, it is always possible to find a coordinate transformation that makes the symbol zero..." You mean only locally zero, right? $\endgroup$
– knzhou
Commented Oct 16, 2017 at 15:37
$\begingroup$ @knzhou Yes, of course. I will make it explicit. Thanks for pointing it out. $\endgroup$
– user87745
Commented Oct 16, 2017 at 15:41

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