Surfaces with parallel mean curvature in warped product spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866911478332784640 |
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| author | Manfio, Fernando Reis, Verônica Vitório, Feliciano |
| author_facet | Manfio, Fernando Reis, Verônica Vitório, Feliciano |
| contents | In this work, we obtain a geometric description of surfaces $M^2$ of arbitrary codimension in the warped product $\mathbb{R}\times_ρ\mathbb{Q}^n_ε$, with parallel mean curvature vector field in the normal connection, extending a result by Alencar-do Carmo-Tribuzy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01394 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Surfaces with parallel mean curvature in warped product spaces Manfio, Fernando Reis, Verônica Vitório, Feliciano Differential Geometry In this work, we obtain a geometric description of surfaces $M^2$ of arbitrary codimension in the warped product $\mathbb{R}\times_ρ\mathbb{Q}^n_ε$, with parallel mean curvature vector field in the normal connection, extending a result by Alencar-do Carmo-Tribuzy. |
| title | Surfaces with parallel mean curvature in warped product spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2603.01394 |