Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
Differential Geometry
2025-02-13 v2
Abstract
We provide a geometric transformation on null curves in the anti-de Sitter 3-space (AdS) which induces the B\"acklund 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.
Keywords
Cite
@article{arxiv.2312.10765,
title = {Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space},
author = {Emilio Musso and Álvaro Pámpano},
journal= {arXiv preprint arXiv:2312.10765},
year = {2025}
}
Comments
The present paper is a continuation of the work arXiv:2311.11137