Singular minimal surfaces with constant curvature

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URI: https://hdl.handle.net/10481/110081
ISSN: 0003-889X
ISSN: 1420-8938
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Author
López Camino, Rafael
Editorial
Springer Nature
Materia
Constant curvature
 
Gauss curvature
 
Date
2025
Referencia bibliográfica
López Camino, R. (2025). Singular minimal surfaces with constant curvature. Archiv der Mathematik, 125, 659–670. https://doi.org/10.1007/s00013-025-02181-3
Sponsorship
MINECO/MICINN/FEDER, PID2023-150727NB-I00; MCINN/AEI/10.13039/501100011033/CEX2020-001105-M, CEX2020-001105-M
Abstract
We prove that singular minimal surfaces with constant Gauss curvature are planes, spheres, and cylindrical surfaces. We also classify all singular minimal surfaces with a constant principal curvature and singular minimal surfaces with constant mean curvature.
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Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License