Timeline for Is the Gromov conjecture still open?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 16, 2021 at 8:55 | comment | added | Dima Pasechnik | the link to Gromov's paper is broken. What paper is it? numdam.org/item/PMIHES_1982__56__5_0 ? | |
| Sep 4, 2017 at 21:52 | comment | added | Misha | @C.F.G: Perelman proved the Poincare conjecture, implying that the only closed simply-connected 3-manifold is $S^3$. Berger spheres indeed show that $S^3$ satisfies Gromov's Minimal Volume Conjecture. (Yes, you can derive this from the existence of a free $S^1$-action as well, but the result was known before Gromov's paper.) | |
| S Sep 4, 2017 at 17:09 | history | suggested | C.F.G | CC BY-SA 3.0 |
Example added
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| Sep 4, 2017 at 16:50 | review | Suggested edits | |||
| S Sep 4, 2017 at 17:09 | |||||
| Sep 3, 2017 at 16:43 | comment | added | C.F.G | Prof. Gromov in his paper noted that if $M$ admit a locally free $\Bbb S^1$-action then $\min {\rm Vol}(M)=0$. In particular $\min {\rm Vol}(\Bbb S^3)=0$. Does this prove the conjecture in dim $3$? | |
| Aug 9, 2017 at 6:02 | history | bounty ended | C.F.G | ||
| Aug 7, 2017 at 20:40 | history | edited | Misha | CC BY-SA 3.0 |
deleted 44 characters in body
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| Aug 7, 2017 at 6:26 | vote | accept | C.F.G | ||
| Aug 6, 2017 at 18:26 | history | answered | Misha | CC BY-SA 3.0 |