Timeline for Homology Sphere Embedding into $\mathbb R^4$
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Mar 29, 2017 at 15:29 | answer | added | Mohan Ramachandran | timeline score: 6 | |
Mar 29, 2017 at 14:18 | answer | added | Bruno Martelli | timeline score: 8 | |
Mar 29, 2017 at 13:44 | history | edited | DLIN | CC BY-SA 3.0 |
added 5 characters in body
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Mar 29, 2017 at 10:51 | comment | added | DLIN | @SebastianGoette Yes, you are right. I mean any metric, actually I guess, such a manifold $Y$ admits a positive scalar curvture. | |
Mar 29, 2017 at 10:25 | comment | added | Sebastian Goette | If you mean the metric induced from the ambient Euclidean metric on $\mathbb R^4$, the answer is no. Take a point of maximal distance from the origin. Then all sectional curvatures are $> 0$ at this point, because $Y$ touches a round sphere from the interior. | |
Mar 29, 2017 at 9:03 | history | asked | DLIN | CC BY-SA 3.0 |