On Bäcklund and Ribaucour transformations for hyperbolic linear Weingarten surfaces

We consider Bäcklund transformations for hyperbolic linear Weingarten surfaces in Euclidean 3-space. The composition of these transformations is obtained in the Permutability Theorem that generates a 4-parameter family of surfaces of the same type. Since a Ribaucour transformation of a hyperbolic l...

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Bibliographic Details
Main Author: Claudiano Goulart
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36702