Timeline for How to find equations of a sub-Riemannian problem
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 11, 2021 at 14:04 | vote | accept | Jean DELI | ||
| May 11, 2021 at 14:04 | comment | added | Jean DELI | Yes of course, I will edit my post. Thank you, it is clear now. | |
| May 11, 2021 at 13:48 | comment | added | Raziel | 1. Canonical coordinates on $T^*M$ are any set of coordinates $(p,x) \in \mathbb{R}^{2n}$ such that the canonical one-form is written as $\sum p_i dx_i$. 2. I think there is a mistake in your last equation ($x$ and $y$ should be $p_x$ and $p_y$), but otherwise they are correct. For any solution $(p_t,x_t)$ of these equation, the projection $x_t$ is a geodesic of the sub-Riemannian problem (i.e. a locally length-minimizing curve) and any geodesic arises in this way (up to a reparametrization). | |
| May 11, 2021 at 12:46 | comment | added | Jean DELI | Thank you for your answer, though I edited my post to be sure I understand correctly. | |
| May 4, 2021 at 18:30 | history | edited | Raziel | CC BY-SA 4.0 |
deleted 151 characters in body
|
| May 4, 2021 at 17:13 | history | edited | Raziel | CC BY-SA 4.0 |
deleted 35 characters in body
|
| May 4, 2021 at 16:48 | history | answered | Raziel | CC BY-SA 4.0 |