Timeline for Coincide between Chern-connection and Levi-Civita connection
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2022 at 1:17 | history | became hot network question | |||
| Jul 25, 2022 at 21:29 | answer | added | Misha Verbitsky | timeline score: 8 | |
| Jul 25, 2022 at 18:33 | comment | added | James Chiu | The $T^{1,0}M$ is spanned by $\partial_{z_j}$ for $j=1,\cdots ,n$. The Levi-Civita Connection $\nabla:\Gamma^{\infty}(T^{1,0}M)\times \Gamma^{\infty}(T^{1,0}M)\to \Gamma^{\infty}(T^{1,0}M)$ where $X,Y,Z\in \Gamma^{\infty}(T^{1,0}M)$ s.t $$\nabla_XY-\nabla_YX=[X,Y]$$ and $$Z(h(X,Y))=g(\nabla_ZX,Y)+g(X,\nabla_Z Y)$$ | |
| Jul 25, 2022 at 18:18 | comment | added | abx | What is the Levi-Civita connection on $T^{1,0}$? | |
| Jul 25, 2022 at 17:49 | review | Close votes | |||
| Aug 2, 2022 at 3:04 | |||||
| Jul 25, 2022 at 17:13 | history | asked | James Chiu | CC BY-SA 4.0 |