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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2405.06934 |
| Etiquetas: |
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Tabla de Contenidos:
- We prove a new Minkowski type formula for capillary hypersurfaces supported on totally geodesic hyperplanes in hyperbolic space. It leads to a volume-preserving flow starting from a star-shaped initial hypersurface. We prove the long-time existence of the flow and its uniform convergence to a $θ$-totally umbilical cap. Additionally, we establish that a $θ$-totally umbilical cap is an energy minimizer for a given enclosed volume.