Timeline for Volume form on real Grassmanian
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 27, 2016 at 21:29 | comment | added | Daniil Rudenko | Thank you! I guess, it gives positive answer to my question. | |
| Dec 27, 2016 at 20:07 | comment | added | Ben McKay | In Plucker coordinates, the oriented Grassmannian is a product $S^2 \times S^2$ and the volume form is the product volume form, with equal area on each sphere. See my thesis arxiv.org/abs/math/0101017 | |
| Dec 27, 2016 at 20:05 | comment | added | Ben McKay | Careful: to get the Grassmannian to be oriented, you need it to be the Grassmannian of oriented 2-planes in $\mathbb{R}^4$. The volume form is then unique up to rescaling by a nonzero constant. | |
| Dec 27, 2016 at 18:27 | history | asked | Daniil Rudenko | CC BY-SA 3.0 |