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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2605.28504 |
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| _version_ | 1866913168232546304 |
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| author | Colding, Tobias Holck Martín, Francisco Minicozzi II, William P. |
| author_facet | Colding, Tobias Holck Martín, Francisco Minicozzi II, William P. |
| contents | We give examples of proper minimal immersions in Euclidean space with very rapid area growth. The first is a proper embedding into $\bf{R}^4$ that yields a stable minimal surface, while the second is a proper immersion into $\bf{R}^3$.
These results are motivated by [CM1] that shows that proper minimal submanifolds confined in space satisfy strong structural constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28504 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minimal surfaces with rapid area growth Colding, Tobias Holck Martín, Francisco Minicozzi II, William P. Differential Geometry Analysis of PDEs We give examples of proper minimal immersions in Euclidean space with very rapid area growth. The first is a proper embedding into $\bf{R}^4$ that yields a stable minimal surface, while the second is a proper immersion into $\bf{R}^3$. These results are motivated by [CM1] that shows that proper minimal submanifolds confined in space satisfy strong structural constraints. |
| title | Minimal surfaces with rapid area growth |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2605.28504 |