Talk:Tensor calculus

Merge/link to Ricci Calculus?

The following discussion is closed. Please do not modify it. Subsequent comments should be made in a new section. A summary of the conclusions reached follows.

To merge Tensor calculus into Ricci calculus on the grounds of overlap or duplication. Klbrain (talk) 15:54, 5 February 2024 (UTC)

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This page seems like it seems like a stub-class duplicate of the well-developed Ricci Calculus page. Is there any reason not to merge them? Krb19 (talk) 18:04, 17 August 2019 (UTC)

• Yes, merge. Could be interesting to have a distinct History of tensor calculus page!? 67.198.37.16 (talk) 02:18, 12 June 2023 (UTC)
  • Second. SpiralSource (talk)
  • Merge, but remove the assumption that there is a metric. Distinguish between covariant and contravariant vectors in the initial text, and in describing metric tensors explain the cannonical isomorphism. I believe that the other article already does that. -- Shmuel (Seymour J.) Metz Username:Chatul (talk) 17:31, 3 November 2023 (UTC)
    • Also, should the Lie derivative come first, since it does not require a connection? Or would it read better to head the relevant sections with the structures assumed? -- Shmuel (Seymour J.) Metz Username:Chatul (talk) 13:57, 22 January 2024 (UTC)

  Yes, definitely merge. Would be easier to read. 2600:1700:232A:550:85B5:AA3F:4310:7C1D (talk) 20:24, 21 January 2024 (UTC)

The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.

Different conventions for which is covariant and which is contravarient

The merged Tensor calculus and Ricci calculus article should inclued a § Nomenclature section explaining that there are two conventions as to whether tangent vectors are covariant and contravariant, and stipulating which convention is used in the article. The same applies to Covariance and contravariance of vectors and Exterior algebra. The convention chosen should be consistent across these articles.

Please discuss at Wikipedia talk:WikiProject Mathematics#Covariant versus contravariant -- Shmuel (Seymour J.) Metz Username:Chatul (talk) 11:19, 4 October 2024 (UTC)

Noting that this discussion has now been archived; see Wikipedia talk:WikiProject Mathematics/Archive/2024/Oct#Covariant versus contravariant. Note that this seems redundant given that the merge (see last section) was only from referenced material, of which there was very little. So, the merge created no nomenclature conflict. Klbrain (talk) 17:21, 6 November 2024 (UTC)