$\epsilon$-isothermic surfaces in pseudo-Euclidean 3-space

Armando M. V. Corro; Carlos M. C. Riveros; Marcelo L. Ferro

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arXiv · 2012.04064

$\epsilon$-isothermic surfaces in pseudo-Euclidean 3-space

Armando M. V. Corro·Carlos M. C. Riveros·Marcelo L. Ferro

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Abstract

In this paper we describe the $\epsilon$-isothermic surfaces in the pseudo-Euclidean 3-space and we obtain the pseudo-Calapso equation. In sequence, we classify the Dupin surfaces in pseudo-Euclidean 3-space having distinct principal curvatures and provide explicit coordinates for such surfaces. As application of the theory, we give explicit solutions to the pseudo-Calapso equation.

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BibTeX RIS

Armando M. V. Corro, Carlos M. C. Riveros, Marcelo L. Ferro. 2020-12-07. $\epsilon$-isothermic surfaces in pseudo-Euclidean 3-space. https://arxiv.org/abs/2012.04064

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