Timeline for Euler-Poincaré characteristic of even-dimensional Einstein manifolds with nonnegative sectional curvature
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| May 5, 2023 at 17:27 | comment | added | Michael Albanese | Regarding dimension $4$, in Compact four-dimensional Einstein manifolds, Hitchin showed that a closed Einstein four-manifold $M$ satisfies $\chi(M) \geq \frac{3}{2}|\sigma(M)|$ (the Hitchin-Thorpe inequality), and if the sectional curvature is also non-positive or non-negative, then $M$ satisfies the stronger inequality $\chi(M) \geq (\frac{3}{2})^{3/2}|\sigma(M)|$. | |
| S May 5, 2023 at 14:44 | review | First questions | |||
| May 5, 2023 at 15:07 | |||||
| S May 5, 2023 at 14:44 | history | asked | Luigi | CC BY-SA 4.0 |