Timeline for Tensor component calculation
Current License: CC BY-SA 4.0
18 events
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| Sep 18 at 22:48 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Sep 18 at 7:30 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 4.0 |
Name spelling corrected, capital from "van der" removed, capital added in "General Relativity"
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| Sep 17 at 21:51 | history | edited | YCor | CC BY-SA 4.0 |
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| Sep 17 at 21:40 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Sep 17 at 20:50 | vote | accept | Gordhob Brain | ||
| Sep 17 at 19:11 | answer | added | Jeffrey Case | timeline score: 2 | |
| Sep 17 at 5:38 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 28 at 13:54 | comment | added | Jeffrey Case | As written, $IV$ is not symmetric, but the other three are. My guess is that Schimming means $dt^i dt^j$ to mean the symmetric product, though, in which case symmetry is automatic. For the original question, $Q^{ij}(Q_{ij} + R_{ikj}^k) = \frac{1}{2}C_{\mu nn \nu}R^{\mu \nu}$. Let me know if you can't verify this (or the other part of the claim) on your own. | |
| Aug 28 at 4:43 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 28 at 4:35 | comment | added | Gordhob Brain | Professor, Thanks so much for your help. I will check my computations again. By the way, R. Schimming claimed that all these fundamental forms are symmetric in indices i and j, but I could not check/verify it for the fourth fundamental form. Could you please take a look at this? Thank you again. | |
| Aug 27 at 20:15 | comment | added | Jeffrey Case | There is a transcription error in your formula for $B_{nn}$ from Schimming's paper. The $R_{ij}$ is supposed to be $R_{ikj}^k$ (the contraction is only over intrinsic indices, not extrinsic ones). Can you complete the derivation with this observation? | |
| Aug 26 at 3:22 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 25 at 23:43 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 25 at 22:57 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 25 at 22:01 | history | edited | Michael Hardy | CC BY-SA 4.0 |
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| Aug 25 at 21:46 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 25 at 21:39 | history | edited | Gordhob Brain | CC BY-SA 4.0 |
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| Aug 25 at 21:32 | history | asked | Gordhob Brain | CC BY-SA 4.0 |