Monotonicity of the modulus under curve shortening flow
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911589656952832 |
|---|---|
| author | Sobnack, Arjun Topping, Peter M. |
| author_facet | Sobnack, Arjun Topping, Peter M. |
| contents | Given two disjoint nested embedded closed curves in the plane, both evolving under curve shortening flow, we show that the modulus of the enclosed annulus is monotonically increasing in time. An analogous result holds within any ambient surface satisfying a lower curvature bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03098 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monotonicity of the modulus under curve shortening flow Sobnack, Arjun Topping, Peter M. Differential Geometry Analysis of PDEs 53E10, 35K55, 30C85, 31A15 Given two disjoint nested embedded closed curves in the plane, both evolving under curve shortening flow, we show that the modulus of the enclosed annulus is monotonically increasing in time. An analogous result holds within any ambient surface satisfying a lower curvature bound. |
| title | Monotonicity of the modulus under curve shortening flow |
| topic | Differential Geometry Analysis of PDEs 53E10, 35K55, 30C85, 31A15 |
| url | https://arxiv.org/abs/2409.03098 |