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Jun 17, 2010 at 9:58 vote accept Anirbit
Jun 16, 2010 at 17:29 comment added Vít Tuček I've expanded my answer. It's basically a question of multilinear algebra.
Jun 16, 2010 at 17:27 history edited Vít Tuček CC BY-SA 2.5
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Jun 16, 2010 at 17:14 history edited Vít Tuček CC BY-SA 2.5
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Jun 16, 2010 at 17:14 comment added Anirbit Probably it is a bit embarrassing, but I did prove the identity about R(X,Y) that you said but even then it wasn't obvious that R is in $\Omega^2(M,End(TM))$. May be you can give some reference or some explanation.
Jun 16, 2010 at 15:12 history edited Vít Tuček CC BY-SA 2.5
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Jun 16, 2010 at 15:07 history answered Vít Tuček CC BY-SA 2.5