Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910409381904384 |
|---|---|
| author | Ortega, Miguel Yalçın, Buse |
| author_facet | Ortega, Miguel Yalçın, Buse |
| contents | In this study, we deal with non-degenerate translators of the mean curvature flow in the well-known hyperbolic Einstein's static universe. We classify translators foliated by horospheres and rotationally invariant ones, both space-like and time-like. For space-like translators, we show a uniqueness theorem as well as a result to extend an isometry of the boundary of the domain to the whole translator, under simple conditions. As an application, we obtain a characterization of the the bowl when the boundary is a ball, and of certain translators foliated by horospheres whose boundary is a rectangle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15166 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe Ortega, Miguel Yalçın, Buse Differential Geometry 53E10, 53C21, 53C50, 53C42 In this study, we deal with non-degenerate translators of the mean curvature flow in the well-known hyperbolic Einstein's static universe. We classify translators foliated by horospheres and rotationally invariant ones, both space-like and time-like. For space-like translators, we show a uniqueness theorem as well as a result to extend an isometry of the boundary of the domain to the whole translator, under simple conditions. As an application, we obtain a characterization of the the bowl when the boundary is a ball, and of certain translators foliated by horospheres whose boundary is a rectangle. |
| title | Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe |
| topic | Differential Geometry 53E10, 53C21, 53C50, 53C42 |
| url | https://arxiv.org/abs/2403.15166 |