Ambient Lipschitz geometry of normally embedded surface germs
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915037894934528 |
|---|---|
| author | Birbrair, Lev Medeiros, Davi Lopes |
| author_facet | Birbrair, Lev Medeiros, Davi Lopes |
| contents | We study the ambient Lipschitz geometry of semialgebraic surfaces. It was discovered in \cite{BBG} that ambient Lipschitz Geometry is different from the outer Lipschtz geometry. We show that two surface germs in $\mathbb{R}^3$, Lipschitz normally embedded and with isolated singularity, are ambient bi-Lipschitz equivalent if, and only if, they are outer bi-Lipschitz equivalent and ambient topologically equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18570 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ambient Lipschitz geometry of normally embedded surface germs Birbrair, Lev Medeiros, Davi Lopes Metric Geometry Algebraic Geometry 14P10, 32V40 We study the ambient Lipschitz geometry of semialgebraic surfaces. It was discovered in \cite{BBG} that ambient Lipschitz Geometry is different from the outer Lipschtz geometry. We show that two surface germs in $\mathbb{R}^3$, Lipschitz normally embedded and with isolated singularity, are ambient bi-Lipschitz equivalent if, and only if, they are outer bi-Lipschitz equivalent and ambient topologically equivalent. |
| title | Ambient Lipschitz geometry of normally embedded surface germs |
| topic | Metric Geometry Algebraic Geometry 14P10, 32V40 |
| url | https://arxiv.org/abs/2311.18570 |