Corrections to: "The Willmore flow of Hopf-tori in the 3-sphere"
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912904167555072 |
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| author | Jakob, Ruben |
| author_facet | Jakob, Ruben |
| contents | This erratum addresses a logical mistake in the author's article [Jakob, R. The Willmore flow of Hopf-tori in the $3$-sphere. Journal of Evolution Equations 23, No. 72 (2023)] which resulted in two wrong assertions in parts (II) and (III) of Theorem 1 in the author's cited paper and in an inaccuracy in the formulation of the second part of Proposition 6 in that paper. We will not only point out these mistakes and their corrections, but we will additionally give a concrete counterexample to Statement (III) in Theorem 1 of the author's cited article which will automatically imply the optimality of the corrected version of that statement, as it is formulated in this erratum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13228 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Corrections to: "The Willmore flow of Hopf-tori in the 3-sphere" Jakob, Ruben Analysis of PDEs 53C42 (Primary), 35R01 (Secondary) This erratum addresses a logical mistake in the author's article [Jakob, R. The Willmore flow of Hopf-tori in the $3$-sphere. Journal of Evolution Equations 23, No. 72 (2023)] which resulted in two wrong assertions in parts (II) and (III) of Theorem 1 in the author's cited paper and in an inaccuracy in the formulation of the second part of Proposition 6 in that paper. We will not only point out these mistakes and their corrections, but we will additionally give a concrete counterexample to Statement (III) in Theorem 1 of the author's cited article which will automatically imply the optimality of the corrected version of that statement, as it is formulated in this erratum. |
| title | Corrections to: "The Willmore flow of Hopf-tori in the 3-sphere" |
| topic | Analysis of PDEs 53C42 (Primary), 35R01 (Secondary) |
| url | https://arxiv.org/abs/2602.13228 |