Surfaces with quadratic support function of harmonic type

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Armando M. V. Corro, Carlos M. C. Riveros, José L. Teruel
DOI: 10.48550/arxiv.2601.19841
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Advanced Differential Geometry Research Geometric Analysis and Curvature Flows Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
27 January 2026
Document type
Preprint