Timeline for Random geometries
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 18, 2013 at 18:15 | vote | accept | Tom LaGatta | ||
| Apr 8, 2012 at 20:37 | comment | added | Ben McKay | Actually, a $G$-structure equipped with a connection is not the same as a Cartan geometry. But there are choices of $G$ for which it is. The space of $G$-structures is just the space of sections of $FM/G$. If $G$ is a reductive group, it is a space of tensors, but in general it isn't. | |
| Apr 2, 2012 at 20:45 | answer | added | Robert Haslhofer | timeline score: 4 | |
| Apr 2, 2012 at 19:32 | comment | added | macbeth | Regarding "Is there a more standard name for a geometry consisting of a G-structure and a connection?": Perhaps the concept you want is a "Cartan geometry of type $(G, H)$." (Here $H\subseteq G$ are arbitrary Lie groups.) Standard references are Sharpe (www.ams.org/mathscinet-getitem?mr=1453120) or Čap-Slovák (www.ams.org/mathscinet-getitem?mr=2532439). The definition of a Cartan geometry appears on p71 of Čap-Slovák, which is visible in the AMS preview pdf at www.ams.org/bookstore-getitem/item=surv-154. | |
| Apr 2, 2012 at 18:47 | history | asked | Tom LaGatta | CC BY-SA 3.0 |