toftul / tensors-in-curvilinear-coordinates

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In various curvilinear coordinates

Done in SymPy. General formula is $$\chi^{(2)}_{(\ell n m)_{\text{curv}}}= R_{\ell i} R_{n j} R_{m k} \chi^{(2)}_{(ijk)_{\text{cart}}}$$ where rotation matrix $\hat{R}$ is defined as $$\mathbf{A}^{\text{curv}} = \hat{R}^{-1} \mathbf{A}^{\text{cart}}$$

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