Covariant derivative and vector functions

tom.young84

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].

arkajad

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

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tom.young84	Covariant derivative and vector functions Tweet 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].