Geodesic nets on flat spheres
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912351188418560 |
|---|---|
| author | Adelstein, Ian Fromm, Elijah Nelakanti, Rajiv Roth, Faren Weiss, Supriya |
| author_facet | Adelstein, Ian Fromm, Elijah Nelakanti, Rajiv Roth, Faren Weiss, Supriya |
| contents | We consider geodesic nets (critical points of a length functional on the space of embedded graphs) on doubled polygons (topological 2-spheres endowed with a flat metric away from finitely many cone singularities). We use the theorem of Gauss-Bonnet to demonstrate the existence and non-existence of specific geodesic nets on regular doubled polygons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_04761 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Geodesic nets on flat spheres Adelstein, Ian Fromm, Elijah Nelakanti, Rajiv Roth, Faren Weiss, Supriya Differential Geometry We consider geodesic nets (critical points of a length functional on the space of embedded graphs) on doubled polygons (topological 2-spheres endowed with a flat metric away from finitely many cone singularities). We use the theorem of Gauss-Bonnet to demonstrate the existence and non-existence of specific geodesic nets on regular doubled polygons. |
| title | Geodesic nets on flat spheres |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2201.04761 |