Polyharmonic hypersurfaces into complex space forms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913326827569152 |
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| author | Balado-Alves, José Miguel |
| author_facet | Balado-Alves, José Miguel |
| contents | We characterize homogeneous hypersurfaces in complex space forms which arise as critical points of a higher order energy functional. As a consequence, we obtain existence and non-existence results for $\mathbb{CP}^n$ and $\mathbb{CH}^n$, respectively. Moreover, we study the stability of biharmonic hypersurfaces and compute the normal index for a large family of solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14452 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Polyharmonic hypersurfaces into complex space forms Balado-Alves, José Miguel Differential Geometry 58E20, 53C43 We characterize homogeneous hypersurfaces in complex space forms which arise as critical points of a higher order energy functional. As a consequence, we obtain existence and non-existence results for $\mathbb{CP}^n$ and $\mathbb{CH}^n$, respectively. Moreover, we study the stability of biharmonic hypersurfaces and compute the normal index for a large family of solutions. |
| title | Polyharmonic hypersurfaces into complex space forms |
| topic | Differential Geometry 58E20, 53C43 |
| url | https://arxiv.org/abs/2310.14452 |