2025-12-302025-12-302025CORRO, Armando M. V.; RIVEROS, Carlos M. C.; ARÁUJO, Raquel P. de. Surfaces with mean of the hyperbolic curvature radii of double harmonic type. Selecciones Matematicas, Trujillo, v. 12, p. 33-43, 2025. DOI: 10.17268/sel.mat.2025.01.03. Disponível em: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617. Acesso em: 8 dez. 2025.e- 2411 - 1783https://repositorio.bc.ufg.br//handle/ri/29226In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonictype (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalizedWeingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMC-surfaces. Given a real function, we will present a family of DHRMC-surfaces that depend on twoholomorphic functions. Moreover, we classify the DHRMC-surfaces of rotation.engAcesso Abertohttp://creativecommons.org/licenses/by-nc-nd/4.0/Hyperbolic curvature radiiHolomorphic functionsWeingarten surfacesSurfaces with mean of the hyperbolic curvature radii of double harmonic typeArtigo10.17268/sel.mat.2025.01.03