Removing singularities of minimal surfaces by isotopies
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909911567302656 |
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| author | Alarcon, Antonio Forstneric, Franc |
| author_facet | Alarcon, Antonio Forstneric, Franc |
| contents | Given an open Riemann surface $M$, we show that the branch points and the complete ends of finite total curvature of a conformal minimal surface $M\to{\mathbb R}^n$, $n\ge 3$, can be removed by an isotopy through such surfaces. The analogous result holds for null holomorphic curves $M\to{\mathbb C}^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14729 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Removing singularities of minimal surfaces by isotopies Alarcon, Antonio Forstneric, Franc Differential Geometry Complex Variables Primary 53A10, Secondary 53C42, 32E30, 30F30 Given an open Riemann surface $M$, we show that the branch points and the complete ends of finite total curvature of a conformal minimal surface $M\to{\mathbb R}^n$, $n\ge 3$, can be removed by an isotopy through such surfaces. The analogous result holds for null holomorphic curves $M\to{\mathbb C}^n$. |
| title | Removing singularities of minimal surfaces by isotopies |
| topic | Differential Geometry Complex Variables Primary 53A10, Secondary 53C42, 32E30, 30F30 |
| url | https://arxiv.org/abs/2511.14729 |