Biconservative surfaces in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910963891961856 |
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| author | Fetcu, Dorel |
| author_facet | Fetcu, Dorel |
| contents | We find the explicit local equations of biconservative surfaces with non-constant mean curvature in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$, when the gradient of the mean curvature function is a principal direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Biconservative surfaces in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$ Fetcu, Dorel Differential Geometry 53C42 We find the explicit local equations of biconservative surfaces with non-constant mean curvature in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$, when the gradient of the mean curvature function is a principal direction. |
| title | Biconservative surfaces in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$ |
| topic | Differential Geometry 53C42 |
| url | https://arxiv.org/abs/2504.21532 |