Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911020465782784 |
|---|---|
| author | Perdomo, Oscar |
| author_facet | Perdomo, Oscar |
| contents | The round Taylor method uses rational arithmetic, allowing control of both round-off and truncation errors in approximating solutions of differential equations. In this paper, we employ this method together with the Poincare-Miranda theorem to prove the existence of a new embedded constant mean curvature (CMC) hypertorus in the unit four dimensional sphere |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Perdomo, Oscar Differential Geometry 53C42, 53A10, 65G30, 65L70 The round Taylor method uses rational arithmetic, allowing control of both round-off and truncation errors in approximating solutions of differential equations. In this paper, we employ this method together with the Poincare-Miranda theorem to prove the existence of a new embedded constant mean curvature (CMC) hypertorus in the unit four dimensional sphere |
| title | Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance |
| topic | Differential Geometry 53C42, 53A10, 65G30, 65L70 |
| url | https://arxiv.org/abs/2506.19555 |