Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Musso, Emilio, Pámpano, Álvaro
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212882
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space. Emilio Musso and Álvaro Pámpano. SIGMA 21 (2025), 009, 18 pages

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...