Covariant derivative and vector functions

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

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tom.young84

Thread starter
Nov 21, 2010

So given this identity:

[V,W] = [tex]\nabla[/tex]_VW-[tex]\nabla[/tex]_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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arkajad

Nov 21, 2010

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

Covariant derivative and vector functions

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Covariant derivative and vector functions

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