Timeline for How do I see sectional curvature in the principal bundle (or in Cartan's) approach to riemannian geometry?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2015 at 5:04 | answer | added | Koushik | timeline score: -1 | |
| Mar 30, 2011 at 11:20 | vote | accept | Feri | ||
| Mar 30, 2011 at 2:41 | comment | added | Feri | Thanks Paul. It seems intriguing that idea of considering 2-Grassmannian bundles. | |
| Mar 29, 2011 at 20:09 | answer | added | Deane Yang | timeline score: 6 | |
| Mar 29, 2011 at 10:56 | comment | added | Paul Siegel | Note that the sectional curvature corresponding to two tangent vectors at a point depends only on the plane they span, and the curvature tensor is determined by the sectional curvatures. So local frames don't really distinguish Riemannian curvature among curvature tensors associated to other connections. Perhaps a more "global" approach to Riemannian geometry in this sense would involve the geometry of 2-Grassmannian bundles. | |
| Mar 29, 2011 at 8:59 | answer | added | Sebastian | timeline score: 2 | |
| Mar 29, 2011 at 4:31 | history | asked | Feri | CC BY-SA 2.5 |