Timeline for Were 3-manifolds with $\sec>0$ known to be space forms before Ricci flow?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2021 at 21:08 | comment | added | C.F.G | In dim 3, obviously they are homology 3-sphere. then you need prove that positive sec/Ricci implies being sphere in simply connected case that is same as RH theorem. | |
| Mar 5, 2017 at 3:32 | comment | added | Ian Agol | It was known (after Hamilton's theorem) by Thurston's orbifold theorem) that genus 2 manifolds satisfy geometrization (one can now prove this independent of Rocci flow). But I don't know how to prove these manifolds are genus 2. | |
| Mar 2, 2017 at 3:37 | comment | added | Renato G. Bettiol | For 2-manifolds you can simply use the uniformization theorem, which longly predates any Ricci flow techniques. | |
| Mar 2, 2017 at 1:13 | comment | added | Juan Sebastian Lozano | Is there an analogous result for 2 manifolds which is done without Ricci flow? | |
| Mar 1, 2017 at 5:47 | answer | added | Igor Rivin | timeline score: 12 | |
| Mar 1, 2017 at 4:44 | history | asked | Renato G. Bettiol | CC BY-SA 3.0 |