New Isothermic surfaces

In this paper, we consider a method of constructing isothermic surfaces based on Ribaucour transformations. By applying the theory to the cylinder, we obtain a three-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the cylinder. In addition, we a...

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Bibliographic Details
Published in:arXiv.org 2020-11
Main Authors: Corro, Armando M V, Marcelo Lopes Ferro
Format: Article
Language:English
Subjects:
Cylinders
Mathematical analysis
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Summary:In this paper, we consider a method of constructing isothermic surfaces based on Ribaucour transformations. By applying the theory to the cylinder, we obtain a three-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the cylinder. In addition, we also obtain one-parameter family of complete isothermic surface with planar ends. Such family of isothermic surfaces do not have constant mean curvature. As aplication we obtain explicit solutions of the Calapso equation.
ISSN:2331-8422