Timeline for Matrix Expression of the Maurer-Cartan Form
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 10, 2019 at 15:55 | comment | added | Jesper Göransson | The tangent vector itself is an inadequate object, we can translate it forth and back, but there isn't really anything else to do with it. In this setting the purpose is to calculate the structure equations so we need to be able to make more complicated calulations such as differentiating. A tangent vector cannot be differentiated, but a function can and the function of interest is here the identity function. The identity function is the primary object and the tangent vector is secondary and somewhat irrelevant for the calculations. | |
| Oct 9, 2019 at 15:34 | comment | added | nothingIsMere | This is somewhat helpful, but I am still left with my original question. No matter what we want to do with the object mapped to itself by dg, why can't we do it before mapping it to itself as well as after? I mean, we're just mapping it to itself. If I want to add 2 to 1 to make 3, it seems superfluous to map 1 to itself first. | |
| Oct 9, 2019 at 13:15 | review | First posts | |||
| Oct 9, 2019 at 15:32 | |||||
| Oct 9, 2019 at 13:15 | history | answered | Jesper Göransson | CC BY-SA 4.0 |