Cylindrical singular minimal surfaces Dierkes, Ulrich López Camino, Rafael Singular minimal surface Cylindrical surface α+1-catenary We construct a foliation of the upper half space in R3 consisting of minimizing cylindrical α-singular minimal surfaces when α<0. Furthermore, we discuss stability results for the α-catenaries when α>0 and relate these to the geodesics of a conformal metric. 2026-01-22T08:12:54Z 2026-01-22T08:12:54Z 2023 journal article Ulrich Dierkes, Rafael López, Cylindrical singular minimal surfaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 547–576 DOI: 10.4171/RLM/1018 https://hdl.handle.net/10481/110058 10.4171/RLM/1018 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License EMS Press (European Mathematical Society)