Timeline for Deforming metrics from non-negative to positive Ricci curvature
Current License: CC BY-SA 4.0
8 events
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Nov 30, 2018 at 1:35 | comment | added | Igor Belegradek | On the bottom of p.3 of arxiv.org/pdf/1607.00657.pdf D.Wraith discusses a related question. He considers the product of a K3 surface with a homotopy $(4n-1)$-sphere $\Sigma$ that bounds a parallelizable manifold. (Wraith proved elsewhere that any such sphere admits a metric of $Ric>0$ so $K3\times\Sigma$ has a metric of $Ric\ge 0$). Wraith then remarks: "There are no known obstructions to positive Ricci curvature for these manifolds... Nevertheless, the author is tempted to conjecture that no Ricci positive metrics exist". | |
Nov 29, 2018 at 22:36 | comment | added | Igor Belegradek | It is better to ask the follow up question separately. | |
Nov 29, 2018 at 21:19 | history | edited | H_Wang | CC BY-SA 4.0 |
added 551 characters in body
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Nov 27, 2018 at 13:25 | vote | accept | H_Wang | ||
Nov 26, 2018 at 12:33 | answer | added | Robert Bryant | timeline score: 11 | |
Nov 26, 2018 at 6:33 | answer | added | C.F.G | timeline score: 9 | |
Nov 26, 2018 at 4:10 | review | First posts | |||
Nov 26, 2018 at 4:24 | |||||
Nov 26, 2018 at 4:06 | history | asked | H_Wang | CC BY-SA 4.0 |