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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.19646 |
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| _version_ | 1866917431573741568 |
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| author | Hong, Fang |
| author_facet | Hong, Fang |
| contents | In this paper, we proved a sharp Minkowski type inequality in Cartan-Hadamard 3-spaces by harmonic mean curvature flow and improves the known estimates for total mean curvature in hyperbolic 3-space. In particular, we sharpened Ghomi-Spruck's result. As a corollary, we also get a comparison theorem between total mean curvature in Cartan-Hadamard 3-spaces with that of the geodesic sphere in hyperbolic 3-space with constant curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19646 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp Minkowski Type Inequality in Cartan-Hadamard 3-Spaces Hong, Fang Differential Geometry Analysis of PDEs Primary: 53C20, 58J05, Secondary: 52A38, 49Q15 In this paper, we proved a sharp Minkowski type inequality in Cartan-Hadamard 3-spaces by harmonic mean curvature flow and improves the known estimates for total mean curvature in hyperbolic 3-space. In particular, we sharpened Ghomi-Spruck's result. As a corollary, we also get a comparison theorem between total mean curvature in Cartan-Hadamard 3-spaces with that of the geodesic sphere in hyperbolic 3-space with constant curvature. |
| title | Sharp Minkowski Type Inequality in Cartan-Hadamard 3-Spaces |
| topic | Differential Geometry Analysis of PDEs Primary: 53C20, 58J05, Secondary: 52A38, 49Q15 |
| url | https://arxiv.org/abs/2603.19646 |