Timeline for Metric of negative curvature on connected sum
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 14 at 20:00 | comment | added | Ben McKay | If $M$ and $N$ are both the 2-sphere, no. | |
| Mar 13 at 21:51 | history | edited | Michael Hardy | CC BY-SA 4.0 |
added 7 characters in body
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| Mar 13 at 17:06 | comment | added | Moishe Kohan | You probably mean complete metrics. Then Mike's comment settles the matter. | |
| Mar 13 at 16:54 | comment | added | mme | No in dimension $n>2$ because the connected sum of two manifolds other than $M, N$ has non-contractible universal cover (mathoverflow.net/a/51892/40804), unlike a manifold of nonpositive curvature. Yes for $n=2$ by uniformization, though it's not clear how you want the new metric to be related to the old ones. | |
| S Mar 13 at 16:39 | review | First questions | |||
| Mar 13 at 20:13 | |||||
| S Mar 13 at 16:39 | history | asked | User5 | CC BY-SA 4.0 |