Harmonic maps from the product of the hyperbolic planes to the hyperbolic space
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911129763053568 |
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| author | Akutagawa, Kazuo Matsumoto, Yoshihiko |
| author_facet | Akutagawa, Kazuo Matsumoto, Yoshihiko |
| contents | An existence result is shown for the asymptotic Dirichlet problem for harmonic maps from the product of the hyperbolic planes to the hyperbolic space, where the Dirichlet data is given on the distinguished boundary (the product of the circles at infinity). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harmonic maps from the product of the hyperbolic planes to the hyperbolic space Akutagawa, Kazuo Matsumoto, Yoshihiko Differential Geometry 53C43 (Primary) 58E20, 58J32 (Secondary) An existence result is shown for the asymptotic Dirichlet problem for harmonic maps from the product of the hyperbolic planes to the hyperbolic space, where the Dirichlet data is given on the distinguished boundary (the product of the circles at infinity). |
| title | Harmonic maps from the product of the hyperbolic planes to the hyperbolic space |
| topic | Differential Geometry 53C43 (Primary) 58E20, 58J32 (Secondary) |
| url | https://arxiv.org/abs/2508.21384 |