Timeline for Hyperbolic space embeds into Wasserstein space
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 2, 2022 at 15:14 | comment | added | Anton Petrunin | @Carlos_Petterson then you should say "global" somewhere in your question, otherwise it is unclear. | |
| Apr 2, 2022 at 12:15 | comment | added | Carlos_Petterson | The Nash-Kuiper theorem provides an isometric embedding (in the Riemannian sense) and not in the metric sense (as YCor pointed out to me a couple of days ago). So then $f:\mathbb{H}^n \rightarrow \mathbb{R}^{2n+1}$ is only locally Lipschitz with constant $\max_{x\in ...}\,\|\nabla f(x)\|\neq 1$. | |
| Apr 1, 2022 at 16:30 | history | answered | Anton Petrunin | CC BY-SA 4.0 |