Timeline for Problem arising in metrizability of connections: Simultaneously skewsymmetrizing matrices
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 29, 2020 at 21:44 | vote | accept | Mike Cocos | ||
| Nov 30, 2019 at 22:26 | comment | added | Mike Cocos | Related to the question: Assume $\nabla $ is a connection in a vector bundle over the manifold $M$. Assume the dimension of the fiber is $n$ and let $\Omega$ be its curvature matrix in a local frame. Chose $\theta_i,$ $i=1,m$ a local frame of two forms on $M$ and define the matrices $S_i$ as $$ \Omega=\sum_{i=1}^m \theta_i S_i.$$ Then there is an algorithm to determine if the connection is locally metric if $n=2$ or $n>2$ and there are at least ${n-1 \choose 2}+1$ linearly independent matrices among the $S_1,S_2,....S_m$ | |
| Nov 29, 2019 at 10:10 | answer | added | Robert Bryant | timeline score: 3 | |
| Nov 28, 2019 at 20:11 | history | asked | Mike Cocos | CC BY-SA 4.0 |