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Ilmari Karonen
Ilmari Karonen
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We're busy doing a GR course, and index notation has always been something that confuses me. In particular, is there a difference between the following, and if so, what is it?

$A^{\mu}_{\nu}$$A^\mu_\nu$; $A^{\mu}_{\;\:\nu}$$A^\mu{}_\nu$ and $A_{\nu}^{\;\:\mu}$$A_\nu{}^\mu$

We're busy doing a GR course, and index notation has always been something that confuses me. In particular, is there a difference between the following, and if so, what is it?

$A^{\mu}_{\nu}$; $A^{\mu}_{\;\:\nu}$ and $A_{\nu}^{\;\:\mu}$

We're busy doing a GR course, and index notation has always been something that confuses me. In particular, is there a difference between the following, and if so, what is it?

$A^\mu_\nu$; $A^\mu{}_\nu$ and $A_\nu{}^\mu$

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Qmechanic ♦
Qmechanic ♦
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TessCBear
TessCBear
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Index Notation Question

We're busy doing a GR course, and index notation has always been something that confuses me. In particular, is there a difference between the following, and if so, what is it?

$A^{\mu}_{\nu}$; $A^{\mu}_{\;\:\nu}$ and $A_{\nu}^{\;\:\mu}$