Timeline for Another question of index notation in tensor calculus
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 30, 2020 at 0:56 | comment | added | Cinaed Simson | $\nabla_{a}g_{be}=0$ is an independent calculation. It ensures the connection is metric compatible, i.e., it ensures vector angles and magnitudes are invariant when $g$ is parallel transported. If $\nabla_{a}g_{be}\neq0$ then it implies your metric may degenerate. The connection can be affine or Levi-Cevita - and you can use the Christoffel symbols either way - but there are potentially an infinite number of affine connections which may be compatible with the metric - and the Christoffel symbols may not posses the same symmetry properties as the Levi-Cevita connection. | |
| Apr 29, 2020 at 20:36 | vote | accept | Nothing | ||
| Apr 29, 2020 at 19:49 | answer | added | J. Murray | timeline score: 2 | |
| Apr 29, 2020 at 19:13 | history | edited | Nothing | CC BY-SA 4.0 |
added 67 characters in body
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| Apr 29, 2020 at 16:51 | answer | added | G. Smith | timeline score: 2 | |
| Apr 29, 2020 at 16:01 | history | asked | Nothing | CC BY-SA 4.0 |