Timeline for The existence of length-minimizing path between two points in a Riemannian manifold with boundary
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 3, 2018 at 4:18 | vote | accept | Changwei Xiong | ||
| Aug 2, 2018 at 21:57 | comment | added | Changwei Xiong | @Raziel You are right. The minimizer may only be $C^0$ but piecewise $C^1$. | |
| Aug 2, 2018 at 19:40 | answer | added | user127309 | timeline score: 4 | |
| Aug 2, 2018 at 16:28 | comment | added | Raziel | Interpreting the closure as $M \cup \partial M$, it seems to me that, in general, minimizers can have corners. Any non-convex region of $\mathbb{R}^2$ is gives an example. | |
| Aug 2, 2018 at 12:55 | answer | added | Igor Belegradek | timeline score: 8 | |
| Aug 2, 2018 at 12:13 | history | asked | Changwei Xiong | CC BY-SA 4.0 |