Hello

If V is a vector field generated by an one parametre subgroup C(t). Show that V is left invariant.

I found that the proof in my book(Nakahara) is long.

I guess it can be poved by a Lie derivative:

LvV=[V,V]=0

Am I right?

Thank you!!!

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- Jul 19th 2010, 12:40 AMchloeagnewA Question About Left Invariant Vector Field
Hello

If V is a vector field generated by an one parametre subgroup C(t). Show that V is left invariant.

I found that the proof in my book(Nakahara) is long.

I guess it can be poved by a Lie derivative:

*L*vV=[V,V]=0

Am I right?

Thank you!!!