Timeline for Line bundle on $S^2$
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 3, 2017 at 18:06 | answer | added | user2520938 | timeline score: 0 | |
| Oct 1, 2017 at 20:27 | comment | added | Georges Elencwajg | See here | |
| Nov 20, 2012 at 15:03 | comment | added | cheyne | I'm assuming we mean Real line bundles? There are non-trivial complex line bundles on S^2. | |
| Nov 20, 2012 at 14:27 | comment | added | Gunnar Þór Magnússon | Huh. And yet there are nontrivial vector bundles on $S^$. | |
| Nov 20, 2012 at 14:03 | answer | added | Liviu Nicolaescu | timeline score: 7 | |
| Nov 20, 2012 at 12:02 | comment | added | Sebastian | Take a metric on your line bundle and a metric connection. This connection cannot have curvature, and as the 2-sphere is simply connected, there is no monodromy, so parallel transport trivializes the bundle. Of course, this is only the differential geometry version of the answers of Francesco Polizzi and Dan Petersen. | |
| Nov 20, 2012 at 11:40 | answer | added | David C | timeline score: 7 | |
| Nov 20, 2012 at 11:31 | answer | added | Francesco Polizzi | timeline score: 10 | |
| Nov 20, 2012 at 11:08 | answer | added | Dan Petersen | timeline score: 19 | |
| Nov 20, 2012 at 10:43 | history | asked | Pedro Perez | CC BY-SA 3.0 |