Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
We provide a geometric transformation of null curves in anti-de Sitter 3-space (AdS) that induces the Bäcklund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the orig...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2025 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212882 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space. Emilio Musso and Álvaro Pámpano. SIGMA 21 (2025), 009, 18 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862727045792923648 |
|---|---|
| author | Musso, Emilio Pámpano, Álvaro |
| author_facet | Musso, Emilio Pámpano, Álvaro |
| citation_txt | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space. Emilio Musso and Álvaro Pámpano. SIGMA 21 (2025), 009, 18 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We provide a geometric transformation of null curves in anti-de Sitter 3-space (AdS) that induces the Bäcklund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the original null curve has constant bending.
|
| first_indexed | 2026-03-21T10:17:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212882 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T10:17:46Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Musso, Emilio Pámpano, Álvaro 2026-02-13T13:50:28Z 2025 Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space. Emilio Musso and Álvaro Pámpano. SIGMA 21 (2025), 009, 18 pages 1815-0659 2020 Mathematics Subject Classification: 37K35; 53B30 arXiv:2312.10765 https://nasplib.isofts.kiev.ua/handle/123456789/212882 https://doi.org/10.3842/SIGMA.2025.009 We provide a geometric transformation of null curves in anti-de Sitter 3-space (AdS) that induces the Bäcklund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the original null curve has constant bending. Authors partially supported by PRIN 2017 and PRIN 2022 “Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics” (prott. 2017JZ2SW5-004 and 2022AP8HZ9003); and by the GNSAGA of INdAM. The authors gratefully acknowledge the warm hospitality of the Department of Mathematics at the Politecnico di Torino and of the Texas Tech University Center in Sevilla. The authors would like to thank the referees for their careful review of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space Article published earlier |
| spellingShingle | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space Musso, Emilio Pámpano, Álvaro |
| title | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space |
| title_full | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space |
| title_fullStr | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space |
| title_full_unstemmed | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space |
| title_short | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space |
| title_sort | geometric transformations on null curves in the anti-de sitter 3-space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212882 |
| work_keys_str_mv | AT mussoemilio geometrictransformationsonnullcurvesintheantidesitter3space AT pampanoalvaro geometrictransformationsonnullcurvesintheantidesitter3space |