List of index notation properties ?

[juliette sekx]

list of index notation properties ??

Is there a list of index notation properties somewhere on the web ??

I'm just looking for a pdf file that I can reference while manipulating tensors using index notation (and summation convention). I'm not looking for proofs at all, just a quick reference sheet, if one exists.

THanks in advance.

 

[CompuChip]

Depends on what you are looking for. I.e. what are "index manipulations"?
Do they include (Kronecker) delta's and (Levi-Civita) epsilon's?
Raising and lowering of indices?
Covariant differentiation?
Transformation properties under coordinate changes?

 

[juliette sekx]

Depends on what you are looking for. I.e. what are "index manipulations"?
Do they include (Kronecker) delta's and (Levi-Civita) epsilon's?
Raising and lowering of indices?
Covariant differentiation?
Transformation properties under coordinate changes?

That's right, I'm looking for a reference sheet that has as many properties (like the ones you quoted) as possible. Even if there's 4 separate sources that each have some of the above properties listed, that would be helpful too.

Thank you!

 

[bendhoward]

I think this is the best I've found, or at least a good starting place.

http://solidmechanics.org/text/AppendixC/AppendixC.htm