Bounds on saddle connections for flat spheres
| Autor: | Fu, Kai, Tahar, Guillaume |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider a flat metric with conical singularities on the sphere. Assuming no partial sum of angle defects is equal to $2\pi$, we draw on the geometry of immersed disks to obtain an explicit upper bound on the number of saddle connections with at most $k$ self-intersections. We also deduce a bound on their lengths for a surface with a normalized area. Comment: 16 pages, 10 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|