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The Bianchi-Darboux transform of L-isothermic surfaces | E. Musso
; L. Nicolodi
; | Date: |
11 Dec 1999 | Subject: | Differential Geometry MSC-class: 53A40, 53A05 | math.DG | 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. | Source: | arXiv, math.DG/0001062 | Services: | Forum | Review | PDF | Favorites |
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