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Definition of Tensor Identity Simplification

Context: Undergrad
Thread starter Arman777
Start date Mar 30, 2021
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Definition Identity Tensor

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Arman777

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Mar 30, 2021

#1

Is there a simplifcation of ##g^{\alpha \delta}g_{\beta \gamma} ## or what is equal to ?

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etotheipi

Mar 30, 2021

#2

it's just a coordinate dependent number no? assuming your indices are not abstract or anything

Arman777

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Mar 30, 2021

#3

Okay I got no worries

PeterDonis

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Mar 30, 2021

#4

Arman777 said:

Is there a simplifcation of ##g^{\alpha \delta}g_{\beta \gamma} ## or what is equal to ?

Not if all the indexes are different.

Also, what does this have to do with a tensor density?

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