New Isothermic surfaces in S3
In this paper, we consider a method of constructing isothermic surfaces in S3 based on Ribaucour transformations. By applying the theory to the flat torus, we obtain two family of complete isothermic surfaces in S3. One four-parameter family of complete isothermic surfaces that contains n-bubble su...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Nacional de Trujillo
2023-07-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5251 |
| _version_ | 1828718555291451392 |
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| author | Armando M. V. Corro Marcelo Lopes Ferro |
| author_facet | Armando M. V. Corro Marcelo Lopes Ferro |
| author_sort | Armando M. V. Corro |
| collection | DOAJ |
| description | In this paper, we consider a method of constructing isothermic surfaces in S3 based on Ribaucour transformations.
By applying the theory to the flat torus, we obtain two family of complete isothermic surfaces in S3. One four-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the torus. We also get another four-parameter of complete isothermic surfaces which are Dupin surfaces. As aplication we obtain explicit solutions of the Calapso equation. |
| first_indexed | 2024-03-12T14:48:17Z |
| format | Article |
| id | doaj.art-dca2201cd11a4bb98abc2447e473ee4d |
| institution | Directory Open Access Journal |
| issn | 2411-1783 |
| language | Spanish |
| last_indexed | 2024-03-12T14:48:17Z |
| publishDate | 2023-07-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-dca2201cd11a4bb98abc2447e473ee4d2023-08-16T01:28:27ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832023-07-01100111412810.17268/sel.mat.2023.01.11New Isothermic surfaces in S3Armando M. V. Corro0https://orcid.org/0000-0002-6864-3876Marcelo Lopes Ferro1https://orcid.org/0000-0001-6832-2274IME, Universidade Federal de Goiás, Caixa Postal 131, 74001-970, Goiania, GO, Brazil.IME, Universidade Federal de Goiás, Caixa Postal 131, 74001-970, Goiania, GO, Brazil.In this paper, we consider a method of constructing isothermic surfaces in S3 based on Ribaucour transformations. By applying the theory to the flat torus, we obtain two family of complete isothermic surfaces in S3. One four-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the torus. We also get another four-parameter of complete isothermic surfaces which are Dupin surfaces. As aplication we obtain explicit solutions of the Calapso equation.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5251isothermic surfacesribaucour transformationsdupin surfacescalapso equation |
| spellingShingle | Armando M. V. Corro Marcelo Lopes Ferro New Isothermic surfaces in S3 Selecciones Matemáticas isothermic surfaces ribaucour transformations dupin surfaces calapso equation |
| title | New Isothermic surfaces in S3 |
| title_full | New Isothermic surfaces in S3 |
| title_fullStr | New Isothermic surfaces in S3 |
| title_full_unstemmed | New Isothermic surfaces in S3 |
| title_short | New Isothermic surfaces in S3 |
| title_sort | new isothermic surfaces in s3 |
| topic | isothermic surfaces ribaucour transformations dupin surfaces calapso equation |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5251 |
| work_keys_str_mv | AT armandomvcorro newisothermicsurfacesins3 AT marcelolopesferro newisothermicsurfacesins3 |