arXiv subjects

Carlos M. C. Riveros

Publications and source records attributed to Carlos M. C. Riveros.

2 recordsLinked to original sources

arXiv2026

Surfaces with quadratic support function of harmonic type

In this paper, we study oriented surfaces S in $\mathbb{R}^3$, called Surfaces with quadratic support function of harmonic type (in short HQSF-surfaces), these surfaces generalize the QSF-surfaces. We obtain a Weierstrass type representation for the HQSF-surfaces which depends on three holomorphic functions. Moreover, we classify the HQSF-surfaces of rotation.

math.DG↗

arXiv2020

$ε$-isothermic surfaces in pseudo-Euclidean 3-space

In this paper we describe the $ε$-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.

math.GT↗