Timeline for Tensor calculus on the frame bundle
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 4, 2015 at 14:53 | answer | added | Ben McKay | timeline score: 1 | |
| Mar 4, 2015 at 13:46 | vote | accept | Bilateral | ||
| Mar 4, 2015 at 5:20 | answer | added | user41263 | timeline score: 1 | |
| Mar 1, 2015 at 19:39 | answer | added | Deane Yang | timeline score: 3 | |
| Mar 1, 2015 at 19:09 | comment | added | Paul Reynolds | I guess there is now no need, after Peter's post. | |
| Mar 1, 2015 at 18:01 | vote | accept | Bilateral | ||
| Mar 4, 2015 at 13:46 | |||||
| Mar 1, 2015 at 17:12 | answer | added | Peter Michor | timeline score: 3 | |
| Mar 1, 2015 at 15:33 | comment | added | Bilateral | If you have some time, could you give an explicit example of the correspondence between tensors and equivariant functions on the frame bundle? For example for a vector field. I am checking the references that you mentioned but there is nothing too explicit. Thanks Paul. | |
| Mar 1, 2015 at 13:52 | review | Close votes | |||
| Mar 1, 2015 at 19:41 | |||||
| Mar 1, 2015 at 13:22 | comment | added | Paul Reynolds | The tangent bundle is an associated bundle to the frame bundle, so any tensor on the base can be 'lifted' to a function on the frame bundle with values in a representation that is equivariant under the action of the group. I'm pretty sure you can find this point of view in Sternberg's book Lectures on Differential Geometry, amongst others. Probably in Kobayashi-Nomizu I too. | |
| Mar 1, 2015 at 12:45 | history | asked | Bilateral | CC BY-SA 3.0 |