The Bianchi-Darboux transform of L-isothermic surfaces

Details The Bianchi-Darboux transform of L-isothermic surfaces The Bianchi-Darboux transform of L-isothermic surfaces

2000-01-11

arxiv.org/abs/math/0001062v1

Mathematics

Differential Geometry

13 pages, amstex, to be published in IJM

Scientific paper

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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