The Bianchi-Darboux transform of L-isothermic surfaces

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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.
13 pages, amstex, to be published in IJM

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Differential Geometry, 53A40, 53A05

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http://salesiana.dossiersoluciones.com/handle/123456789/58520

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001062
 http://arxiv.org/abs/math/0001062

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arXiv