On biharmonic functions on vector bundles
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909104361963520 |
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| author | Abbassi, Mohamed Tahar Kadaoui Doua, Souhail Lakrini, Ibrahim |
| author_facet | Abbassi, Mohamed Tahar Kadaoui Doua, Souhail Lakrini, Ibrahim |
| contents | This paper is devoted to the investigation of harmonic and biharmonic functions on vector bundles equipped with spherically symmetric metrics. We will study the biharmonicity of vertical lifts of functions as well as $r$-radial functions on vector bundle manifolds and, as a consequence, we will construct an infinite two-parameter family of proper biharmonic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01885 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On biharmonic functions on vector bundles Abbassi, Mohamed Tahar Kadaoui Doua, Souhail Lakrini, Ibrahim Differential Geometry 53C07, 53C20, 53C21, 53C24, 53C43 This paper is devoted to the investigation of harmonic and biharmonic functions on vector bundles equipped with spherically symmetric metrics. We will study the biharmonicity of vertical lifts of functions as well as $r$-radial functions on vector bundle manifolds and, as a consequence, we will construct an infinite two-parameter family of proper biharmonic functions. |
| title | On biharmonic functions on vector bundles |
| topic | Differential Geometry 53C07, 53C20, 53C21, 53C24, 53C43 |
| url | https://arxiv.org/abs/2308.01885 |