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arXiv · 2601.19841

Surfaces with quadratic support function of harmonic type

Armando M. V. Corro·Carlos M. C. Riveros·José L. Teruel
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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.

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Armando M. V. Corro, Carlos M. C. Riveros, José L. Teruel. 2026-01-27. Surfaces with quadratic support function of harmonic type. https://arxiv.org/abs/2601.19841

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