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Asymptotic lattices and their integrable reductions I: the Bianchi and the Fubini-Ragazzi lattices

A. Doliwa·M. Nieszporski·P. M. Santini
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Abstract

We review recent results on asymptotic lattices and their integrable reductions. We present the theory of general asymptotic lattices in R^3 together with the corresponding theory of their Darboux-type transformations. Then we study the discrete analogues of the Bianchi surfaces and their transformations. Finally, we present the corresponding theory of the discrete analogues of the isothermally-asymptotic (Fubuni-Ragazzi) nets.

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A. Doliwa, M. Nieszporski, P. M. Santini. 2001-04-30. Asymptotic lattices and their integrable reductions I: the Bianchi and the Fubini-Ragazzi lattices. https://doi.org/10.1088/0305-4470%2F34%2F48%2F308

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