Covariant derivative and vector functions

Thread starter tom.young84
Start date Nov 21, 2010
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Covariant Covariant derivative Derivative Functions Vector

Nov 21, 2010

tom.young84

So given this identity:

[V,W] = \nabla_VW-\nabla_WV

^^I got the above identity from O'Neil 5.1 #9.

From this I'm not sure how to make the jump with vector functions, or if it is even possible to apply that definition to a vector function [x_u,x_v].

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Nov 21, 2010

arkajad

You question is not clear. Can you be more precise?

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