On the Gromov–Hausdorff limits of compact surfaces with boundary
Abstract:
In this work we investigate Gromov–Hausdorff limits of compact surfaces carrying length metrics. More precisely, we consider the case where all surfaces have the same Euler characteristic. We give a complete description of the limit spaces and study their topological properties. Our investigation builds on the results of a previous work which treats the case of closed surfaces.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 10.2024 |
| Sprache | Englisch |
| Identifikator | ISSN: 0232-704X, 1572-9060 KITopen-ID: 1000175303 |
| Erschienen in | Annals of Global Analysis and Geometry |
| Verlag | Springer |
| Band | 66 |
| Heft | 3 |
| Seiten | 15 |
| Vorab online veröffentlicht am | 01.10.2024 |
| Nachgewiesen in | Web of Science OpenAlex Scopus Dimensions |