Timeline for Hypercomplex structures and tangent space decompositions
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 11, 2023 at 8:57 | comment | added | Robert Bryant | I think you'll be able to answer this question yourself once you have the correct definitions. The actual definition is $\mathbb{C}\otimes T = T^{(1,0)}_a\oplus T^{(0,1)}_a$, where $T^{(1,0)}_a = \{ v - i\,av\ |\ v\in T\}$ and $T^{(0,1)}_a = \{ v + i\,av\ |\ v\in T\}$. | |
| Oct 7, 2023 at 15:08 | comment | added | abx | There is nothing particular about $I,J,K$ : there is in fact a sphere $\Bbb{S}^2 $ of complex structures $aI+bJ+cK $ for $a^2+b^2+c^2+0$. | |
| S Oct 7, 2023 at 13:35 | review | First questions | |||
| Oct 7, 2023 at 15:15 | |||||
| S Oct 7, 2023 at 13:35 | history | asked | Diego de la Paz | CC BY-SA 4.0 |