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bochner_identity [2022/08/31 18:57] – spencerbochner_identity [2022/08/31 18:57] (current) – spencer
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 \[ (u^*\mathrm{Rm}_N)(e_i,e_j,e_k,e_\ell) = \mathrm{Rm}_N(u_* e_i, u_* e_j, u_* e_k, u_* e_\ell) A_{ijk\ell}, \] \[ (u^*\mathrm{Rm}_N)(e_i,e_j,e_k,e_\ell) = \mathrm{Rm}_N(u_* e_i, u_* e_j, u_* e_k, u_* e_\ell) A_{ijk\ell}, \]
 and  and 
-\[ \mathrm{scal}_g (u^* \mathrm{Rm}_N) = g^{ik} g^{j\ell} R_{ijk\ell} \]+\[ \mathrm{scal}_g (u^* \mathrm{Rm}_N) = g^{ik} g^{j\ell} R_{ijk\ell}. \]
  
bochner_identity.1661986623.txt.gz · Last modified: by spencer