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Jul 8, 2011 at 14:11 vote accept Mohammad Farajzadeh-Tehrani
Jul 8, 2011 at 14:11
Jul 7, 2011 at 17:42 comment added Mohammad Farajzadeh-Tehrani Is not it possible to write down every thing explicitly in a local coordinate and prove it this way. When I write it down I see a huge summation from which I have no idea how to get that identity. I don't want to use any of those non trivial facts you mentioned. Can you say why the irreducibility of the curvature implies that there is a universal constant $\lambda$ such that $c_2(TX)∧ω=\lambda \left\|R\right\|^2$ dvol$ for all Calabi-Yau 3-folds.
Jul 7, 2011 at 17:33 history edited Robert Bryant CC BY-SA 3.0
corrected a statement by making it more explicit
Jul 7, 2011 at 16:45 history answered Robert Bryant CC BY-SA 3.0