Timeline for Angle between two subspaces
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 23, 2014 at 13:24 | vote | accept | mac | ||
| Jan 23, 2014 at 10:20 | comment | added | Jaap Eldering | @mac: ah, if $E \oplus F$ is the splitting, they use linear map $L$ for a graph description of $F$ wrt. $E^\perp$. Draw this in 2D and you'll see that the norm of $L$ is the cotangent of their angles. In general, $\|L\|^{-1}$ is the tangent of the "usual" angle between $E$ and $F$. | |
| Jan 23, 2014 at 6:31 | comment | added | mac | you can find the paper here: cmat.edu.uy/cmat.eventos.16cla/docentes/samba/publicaciones | |
| Jan 23, 2014 at 6:12 | comment | added | mac | Jaap Eldering: Thank you for your response. I have always been thinking as you do. Maybe its better to consider $v\in E^s(x), w\in E^u(x)$ with $\Vert v\Vert=\Vert w\Vert=1$. But i am somehow confused after studying the paper"On C^1-persistently of homoclinic classes" By "Martin Sambarinho and Jose vieitez". in this paper they have defined the angle between two subspaces in a different way. Is this definition equivalent to yours? | |
| Jan 22, 2014 at 21:51 | comment | added | Barbara Schapira | in particular, you can in this case modify the metric to make the stable and unstable bundles orthogonal... | |
| Jan 22, 2014 at 13:51 | history | answered | Jaap Eldering | CC BY-SA 3.0 |