Asymptotic Dirichlet problem for harmonic maps and conformal geodesics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909492468252672 |
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| author | Matsumoto, Yoshihiko |
| author_facet | Matsumoto, Yoshihiko |
| contents | The asymptotic Dirichlet problem for harmonic maps from the hyperbolic plane into conformally compact Einstein manifolds is used to give a holographic characterization of conformal geodesics on the boundary at infinity, in a way deeply inspired by a work of Fine and Herfray on renormalized area minimization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic Dirichlet problem for harmonic maps and conformal geodesics Matsumoto, Yoshihiko Differential Geometry 53B20 (Primary) 53B30, 53C18, 53C43, 58J32 (Secondary) The asymptotic Dirichlet problem for harmonic maps from the hyperbolic plane into conformally compact Einstein manifolds is used to give a holographic characterization of conformal geodesics on the boundary at infinity, in a way deeply inspired by a work of Fine and Herfray on renormalized area minimization. |
| title | Asymptotic Dirichlet problem for harmonic maps and conformal geodesics |
| topic | Differential Geometry 53B20 (Primary) 53B30, 53C18, 53C43, 58J32 (Secondary) |
| url | https://arxiv.org/abs/2404.02895 |