Timeline for Physicist's request for intuition on covariant derivatives and Lie derivatives
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Nov 8 at 8:07 | comment | added | Ivan Izmestiev | Formally, the unit tangent to a geodesic is parallel along the geodesic (has zero covariant derivative). The coordinate system bound to your car is the parallel transport of a coordinate system at the initial point. Thus, the rate of change of a vector field in this coordinate system is its deviation from being parallel to itself, and one can show that this is the covariant derivative. | |
| S Nov 7 at 5:41 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor grammar improvement
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| S Nov 7 at 5:41 | history | suggested | algebroo | CC BY-SA 4.0 |
"with respect to" is more precise than "in" here; also, Lie derivative and covariant derivative return vectors, so "velocity" is appropriate (and not speed).
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| Nov 7 at 4:45 | comment | added | algebroo | In your 2nd example, what does moving along a geodesic have to do with the covariant derivative? It is unclear to me that they're connected in the physical phenomenon you describe. | |
| Nov 7 at 4:43 | review | Suggested edits | |||
| S Nov 7 at 5:41 | |||||
| Nov 13, 2018 at 11:29 | history | answered | Ivan Izmestiev | CC BY-SA 4.0 |