Domínguez Vázquez, MiguelManzano, José Miguel2024-10-072024-10-072021Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), 269-285http://hdl.handle.net/10347/35022We provide an explicit classification of the following four families of surfaces in any homogeneous 3-manifold with 4-dimensional isometry group: isoparametric surfaces, surfaces with constant principal curvatures, homogeneous surfaces, and surfaces with constant mean curvature and vanishing Abresch-Rosenberg differential.engHomogeneous 3-manifoldsConstant principal curvaturesHomogeneous surfacesIsoparametric surfacesjournal article10.2422/2036-2145.201805_006open access