A family of triharmonic maps to spheres in all dimensions greater than two
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909497489883136 |
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| author | Branding, Volker Siffert, Anna |
| author_facet | Branding, Volker Siffert, Anna |
| contents | We present a construction method for triharmonic maps to spheres. In particular, we show that for any $m\in\mathbb{N}$ with $m\geq 3$ there exists a triharmonic map from $\mathbb{R}^m\setminus\{0\}$ into a round sphere. In addition, we provide a construction method for proper $r$-harmonic maps between spheres based on a suitable deformation of eigenmaps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A family of triharmonic maps to spheres in all dimensions greater than two Branding, Volker Siffert, Anna Differential Geometry Analysis of PDEs We present a construction method for triharmonic maps to spheres. In particular, we show that for any $m\in\mathbb{N}$ with $m\geq 3$ there exists a triharmonic map from $\mathbb{R}^m\setminus\{0\}$ into a round sphere. In addition, we provide a construction method for proper $r$-harmonic maps between spheres based on a suitable deformation of eigenmaps. |
| title | A family of triharmonic maps to spheres in all dimensions greater than two |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2502.11898 |