Hey to everyone here in this forum. I'm new here and I have got a question concerning the exterior derivative and the Lie derivative. I have to show the following: (I searched for them for four hours on the net but no site is giving me a proof of it) http://img21.imageshack.us/img21/2114/thumb1php.png [Broken] http://img187.imageshack.us/img187/3654/thumbphp.png [Broken] These two I ahve to show for all p-form (p is between 0 and m if M is a manifold of dimension m) This is the formula for the exterior derivative which I have to show: http://img187.imageshack.us/img187/7651/img479.gif [Broken] If anyone has those proofs could you indicate me the book (maybe I'll find it on the net) or the site where you found it! Thanks it advance. Any help is appreciated!