Euclidean hypersurfaces with semi-parallel Moebius second fundamental form
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917066841260032 |
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| author | Antas, Mateus Manfio, Fernando |
| author_facet | Antas, Mateus Manfio, Fernando |
| contents | In this paper, we classify Euclidean umbilic-free hypersurfaces with semi-parallel Moebius second fundamental form and three distinct principal curvatures. This completes the classification of such hypersurfaces initiated by Hu, Xie and Zhai in the article: Submanifolds with semi-parallel Mobius second fundamental form in the unit sphere. J.Geom. Anal. 33 (2023), 44pp. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_25937 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Euclidean hypersurfaces with semi-parallel Moebius second fundamental form Antas, Mateus Manfio, Fernando Differential Geometry 53B25, 53C40 In this paper, we classify Euclidean umbilic-free hypersurfaces with semi-parallel Moebius second fundamental form and three distinct principal curvatures. This completes the classification of such hypersurfaces initiated by Hu, Xie and Zhai in the article: Submanifolds with semi-parallel Mobius second fundamental form in the unit sphere. J.Geom. Anal. 33 (2023), 44pp. |
| title | Euclidean hypersurfaces with semi-parallel Moebius second fundamental form |
| topic | Differential Geometry 53B25, 53C40 |
| url | https://arxiv.org/abs/2510.25937 |