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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.25576 |
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| _version_ | 1866915585483341824 |
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| author | Pozuelo, Julián Verzellesi, Simone Vianello, Giacomo |
| author_facet | Pozuelo, Julián Verzellesi, Simone Vianello, Giacomo |
| contents | We study the variational behavior of the total inverse mean curvature of curves with prescribed boundary in the half-plane. We characterize the existence of critical points with prescribed area. We show that such critical points are strongly stable. As an application, we prove a local minimality property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variational properties of the total inverse mean curvature in the plane under boundary constraints Pozuelo, Julián Verzellesi, Simone Vianello, Giacomo Differential Geometry 49Q10 We study the variational behavior of the total inverse mean curvature of curves with prescribed boundary in the half-plane. We characterize the existence of critical points with prescribed area. We show that such critical points are strongly stable. As an application, we prove a local minimality property. |
| title | Variational properties of the total inverse mean curvature in the plane under boundary constraints |
| topic | Differential Geometry 49Q10 |
| url | https://arxiv.org/abs/2510.25576 |