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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.19841 |
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| _version_ | 1866914284103008256 |
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| author | Corro, Armando M. V. Riveros, Carlos M. C. Teruel, José L. |
| author_facet | Corro, Armando M. V. Riveros, Carlos M. C. Teruel, José L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19841 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Surfaces with quadratic support function of harmonic type Corro, Armando M. V. Riveros, Carlos M. C. Teruel, José L. Differential Geometry 53A35 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. |
| title | Surfaces with quadratic support function of harmonic type |
| topic | Differential Geometry 53A35 |
| url | https://arxiv.org/abs/2601.19841 |