Timeline for Why is it important that partial derivatives commute?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 27, 2013 at 10:45 | comment | added | ClassicalPhysicist | I don't think that contradicts what I said, but it is surely more precise to start the discussion with the metric, yes. Thanks for clarifying. | |
| Feb 25, 2013 at 13:14 | comment | added | Liviu Nicolaescu | You put the cart before the horse. First, you fix a metric. Then you fix a connection compatible with the metric. If you are interested only in geodesic then, as E. Cartan observed, there are several connections compatible with the metric that give the same geodesics. If you are interested in more than geodesics, then curvature matters, and the curvature does depend on the choice of connection. | |
| Feb 24, 2013 at 22:20 | history | answered | ClassicalPhysicist | CC BY-SA 3.0 |