Timeline for Examples of manifolds that do not admit scalar flat metrics
Current License: CC BY-SA 3.0
4 events
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| Mar 17, 2018 at 4:40 | comment | added | Michael Albanese | In fact, a homotopy sphere (in any dimension) can't be a product. | |
| Mar 13, 2018 at 14:53 | comment | added | Michael Albanese | There is also an exotic sphere $\Sigma$ in dimensions $10 + 8k$ with $\alpha(\Sigma) \neq 0$. I think this also lies in class (C). It can't be written as a product involving a Kähler manifold, otherwise it would have non-trivial second cohomology, and it can't be a product of Spin(7) manifolds as it has the wrong dimension. | |
| Mar 3, 2018 at 22:17 | history | edited | Igor Belegradek | CC BY-SA 3.0 |
added 1 character in body
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| Mar 3, 2018 at 21:18 | history | answered | Igor Belegradek | CC BY-SA 3.0 |