Bonnet pairs, isothermic surfaces and the retraction form
Differential Geometry
2025-06-23 v2
Abstract
We give a modern account of the classical theory of Bianchi \cite{Bia03} (see also \cite{KamPedPin98}) relating isothermic surfaces to Bonnet pairs. The main novelty is to identify the derivatives of the Bonnet pair with a component of the retraction form of the isothermic surface.
Keywords
Cite
@article{arxiv.2506.13312,
title = {Bonnet pairs, isothermic surfaces and the retraction form},
author = {F. E. Burstall and T. Hoffmann and F. Pedit and A. O. Sageman-Furnas},
journal= {arXiv preprint arXiv:2506.13312},
year = {2025}
}
Comments
6 A4 pages. v2: add authors, correct typos