Re: Inner product of vector fields definition?



Kevin wrote:
"Robert Low" <mtx014@xxxxxxxxxxxxxx> wrote in messa
del_X <Y,Z> = <del_X Y, Z> + <Y, del_X Z>
If you write it out with the metric explicitly,
this is saying that
del_X g(X,Y) = g(del_X(Y),Z) + g(Y,del_X(Z))
Thank you for your response. Do you mean here del_X g(Y,Z) instead of del_X g(X,Y) ?

Yes: sorry about that. .