$\epsilon$-isothermic surfaces in pseudo-Euclidean 3-space
Geometric Topology
2020-12-09 v1
Abstract
In this paper we describe the -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.
Keywords
Cite
@article{arxiv.2012.04064,
title = {$\epsilon$-isothermic surfaces in pseudo-Euclidean 3-space},
author = {Armando M. V. Corro and Carlos M. C. Riveros and Marcelo L. Ferro},
journal= {arXiv preprint arXiv:2012.04064},
year = {2020}
}