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arXiv · 2506.13312

Bonnet pairs, isothermic surfaces and the retraction form

F. E. Burstall·T. Hoffmann·F. Pedit·A. O. Sageman-Furnas
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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.

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F. E. Burstall, T. Hoffmann, F. Pedit, A. O. Sageman-Furnas. 2025-06-16. Bonnet pairs, isothermic surfaces and the retraction form. https://arxiv.org/abs/2506.13312

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