Timeline for Order of a loop around a cone point
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Mar 8 at 18:34 | history | became hot network question | |||
Mar 8 at 15:55 | vote | accept | RKS | ||
Mar 8 at 15:18 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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Mar 8 at 13:31 | history | edited | HJRW |
Added relevant arXiv subject tag
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Mar 8 at 13:29 | comment | added | HJRW | @Henri: existence of a non-positively curved metric is much weaker than the full strength of uniformisation (which says that each conformal class of metrics contains a constant-curvature representative). | |
Mar 8 at 13:27 | answer | added | HJRW | timeline score: 6 | |
Mar 8 at 13:20 | comment | added | Henri | This is correct yes. For instance, you can say that $M$ admits an orbifold metric with non-positive (actually negative if $p>1$) curvature thanks to uniformization. This tells you that $M$ is developable hence the local isotropy groups inject in the fundamental group. I imagine that there is probably a better, direct way to see this though. | |
Mar 8 at 10:34 | history | asked | RKS | CC BY-SA 4.0 |