On the Area of Immersed Minimal Annuli in a Slab
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908562354077696 |
|---|---|
| author | Matinpour, Elham |
| author_facet | Matinpour, Elham |
| contents | We organize minimal annuli in a slab based on the winding number of the circles that foliate them and study the area of minimal annuli with given winding number. Specifically, we deduce some results regarding the convexity of the length function of corresponding level curves, and apply them to estimate the area of the annuli by comparing to the area of waist of covers of catenoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Area of Immersed Minimal Annuli in a Slab Matinpour, Elham Differential Geometry We organize minimal annuli in a slab based on the winding number of the circles that foliate them and study the area of minimal annuli with given winding number. Specifically, we deduce some results regarding the convexity of the length function of corresponding level curves, and apply them to estimate the area of the annuli by comparing to the area of waist of covers of catenoids. |
| title | On the Area of Immersed Minimal Annuli in a Slab |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2410.15535 |