Timeline for Are Carnot groups ever CAT(𝜅) spaces?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 24, 2022 at 21:03 | comment | added | YCor | Scott D. Pauls. The large scale geometry in nilpotent Lie groups. Commun. Anal. Geom. 9(5), 951-982, 2001. | |
| Apr 24, 2022 at 18:10 | comment | added | Carlos_Petterson | @YCor Do you have a reference to this; I'ld like to read more. | |
| Apr 24, 2022 at 16:46 | history | edited | LSpice | CC BY-SA 4.0 |
CAT(\kappa) in title; Caratheodory -> Carathéodory
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| Apr 24, 2022 at 15:07 | history | edited | YCor | CC BY-SA 4.0 |
fixed typo
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| Apr 24, 2022 at 15:05 | comment | added | YCor | No: a result of Pauls even asserts that any nonabelian Carnot group has no quasi-isometric embedding into any CAT(0) space. (Certainly it's easier to directly prove it's not CAT(0)). [Note: free Carnot group has no sense: you need to specify the nilpotency length $k$ and number of generators $r$. It's non-abelian iff $\min(k,r)\ge 2$.] | |
| Apr 24, 2022 at 15:01 | history | asked | Carlos_Petterson | CC BY-SA 4.0 |