math214:04-01
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math214:04-01 [2020/03/31 23:18] pzhou [Tensor, Hom and Dual] |
math214:04-01 [2020/04/03 14:20] (current) pzhou |
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| $$\nabla: \Omega^0(M, E) \to \Omega^1(M, E). $$ | $$\nabla: \Omega^0(M, E) \to \Omega^1(M, E). $$ | ||
| In general, we define | In general, we define | ||
| - | $$ \Omega^k(M, E) = C^\infty( \wedge^k(T^*E) \ot E) $$ | + | $$ \Omega^k(M, E) = C^\infty( \wedge^k(T^*M) \ot E) $$ |
| as $k$-forms with coefficient in $E$. | as $k$-forms with coefficient in $E$. | ||
math214/04-01.1585721891.txt.gz · Last modified: 2020/03/31 23:18 by pzhou
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