math214:final-solution
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math214:final-solution [2020/05/17 16:17] pzhou created |
math214:final-solution [2020/05/17 16:23] (current) pzhou [Problem 7] |
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| The form $\omega_3$ on $GL(\R^N)$ can be defined as following | The form $\omega_3$ on $GL(\R^N)$ can be defined as following | ||
| $$ \omega_3 := tr( g^{-1} dg \wedge g^{-1} dg \wedge g^{-1} dg). $$ | $$ \omega_3 := tr( g^{-1} dg \wedge g^{-1} dg \wedge g^{-1} dg). $$ | ||
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| + | ------ | ||
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| + | Some of you tried to construct a linear interpolation of connections $\nabla_t = t \nabla^L + (1-t) \nabla^R$, and find that it is not flat for $t \in (0,1)$. That is only circusmstancial evidence that there are no path //within flat connections// | ||
| ==== Afterwords ==== | ==== Afterwords ==== | ||
math214/final-solution.1589757432.txt.gz · Last modified: 2020/05/17 16:17 by pzhou
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