@misc{10481/110058, year = {2023}, url = {https://hdl.handle.net/10481/110058}, abstract = {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.}, organization = {Ministerio de Ciencia e Innovación PID2020-117868GB-I00}, publisher = {EMS Press (European Mathematical Society)}, keywords = {Singular minimal surface}, keywords = {Cylindrical surface}, keywords = {α+1-catenary}, title = {Cylindrical singular minimal surfaces}, doi = {10.4171/RLM/1018}, author = {Dierkes, Ulrich and López Camino, Rafael}, }