List of index notation properties ?

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Discussion Overview

The discussion revolves around the search for a reference sheet or list of properties related to index notation, particularly in the context of manipulating tensors. Participants express interest in various aspects of index manipulations, including the Kronecker delta, Levi-Civita epsilon, raising and lowering indices, covariant differentiation, and transformation properties under coordinate changes.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant requests a PDF reference sheet for index notation properties to assist with tensor manipulation.
  • Another participant seeks clarification on what is meant by "index manipulations," suggesting that it could include various topics such as the Kronecker delta, Levi-Civita epsilon, and covariant differentiation.
  • A later reply indicates that the requester is looking for a comprehensive reference that includes multiple properties, even if sourced from different materials.
  • A participant provides a link to a resource that they believe is a good starting point for the requested information.

Areas of Agreement / Disagreement

Participants generally agree on the need for a reference sheet but have not reached a consensus on the specific properties that should be included or the best sources for such information.

Contextual Notes

The discussion does not resolve the specific properties that should be included in the reference sheet, nor does it clarify the completeness or reliability of the provided resource.

juliette sekx
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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.
 
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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?
 


CompuChip said:
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!
 

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