this is my first post on this site but it looks like the sort of ppl that i would like to associate myself with.(adsbygoogle = window.adsbygoogle || []).push({});

Unfourtanately, I have not had any formal schooling for any mathematics above calculus but i have read a few books and papers and am trying to make due.

I was studying about the cartan's first structure equation and was looking at this proof :

http://www.pzgnet.cc/images/cartan/eq1.png

where [tex] \nabla_x [/tex] is a koszul connection, [tex] e_i [/tex] is a basis and [tex] \partial_j A^j_i [/tex] is a change of basis fromeand [tex] \omega [/tex] is a standard connection in the actual equation :

http://www.pzgnet.cc/images/cartan/eq2.png

In step 3 why can the exterior derivitave be applied to [tex] A^j_i [/tex]?

I am no impact no idea on this step and it seems quite important so i dont want to skip it. Any ideas what im missing?

**nb in equation 2 [tex] \omega^i_j [/tex] should be [tex] \omega^j_i [/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Cartan's first structure equation proof

**Physics Forums | Science Articles, Homework Help, Discussion**