Gap results for biharmonic submanifolds in spheres
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917614604779520 |
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| author | Andronic, Stefan Nistor, Simona |
| author_facet | Andronic, Stefan Nistor, Simona |
| contents | In this paper we determine a larger gap of the mean curvature for a class of proper biharmonic submanifolds with parallel mean curvature vector field in Euclidean spheres. When the bounds of the gap are reached, we obtain splitting results of the submanifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gap results for biharmonic submanifolds in spheres Andronic, Stefan Nistor, Simona Differential Geometry 53C42 (Primary) 53B25 (Secondary) In this paper we determine a larger gap of the mean curvature for a class of proper biharmonic submanifolds with parallel mean curvature vector field in Euclidean spheres. When the bounds of the gap are reached, we obtain splitting results of the submanifold. |
| title | Gap results for biharmonic submanifolds in spheres |
| topic | Differential Geometry 53C42 (Primary) 53B25 (Secondary) |
| url | https://arxiv.org/abs/2403.10155 |