The Bianchi-Darboux transform of L-isothermic surfaces

E. Musso; L. Nicolodi

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The Bianchi-Darboux transform of L-isothermic surfaces

E. Musso·L. Nicolodi

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Abstract

We study an analogue of the classical Bianchi-Darboux transformation for L-isothermic surfaces in Laguerre geometry, the Bianchi-Darboux transformation. We show how to construct the Bianchi-Darboux transforms of an L-isothermic surface by solving an integrable linear differential system. We then establish a permutability theorem for iterated Bianchi-Darboux transforms.

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BibTeX RIS

E. Musso, L. Nicolodi. 2000-01-11. The Bianchi-Darboux transform of L-isothermic surfaces. https://arxiv.org/abs/math/0001062

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