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Results tagged with tensor
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user 156792
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Bounds for metric in normal coordinate
For the metric tensor $g_{ij}$ of geodesic normal coordinates at $x$, there is a formula $g_{ij}(y) = \delta_{ij} + \frac13 R_{kijl} y^k y^l + O(\|y\|^3)$. … The full Taylor expansion of $g_{ij}$ needs computer algebra if written in terms of derivatives of the Riemann tensor, see Equation 11.1 in here. …
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