Surfaces with quadratic support function of harmonic type
Differential Geometry
2026-01-28 v1
Abstract
In this paper, we study oriented surfaces S in , 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.
Cite
@article{arxiv.2601.19841,
title = {Surfaces with quadratic support function of harmonic type},
author = {Armando M. V. Corro and Carlos M. C. Riveros and José L. Teruel},
journal= {arXiv preprint arXiv:2601.19841},
year = {2026}
}
Comments
18 pages, 23 figures