Surfaces with mean of the hyperbolic curvature radii of double harmonic type

dc.creatorVasquez Corro, Armando Mauro
dc.creatorCarrión Riveros, Carlos Maber
dc.creatorAraújo, Raquel Pereira de
dc.date.accessioned2025-12-30T12:19:10Z
dc.date.available2025-12-30T12:19:10Z
dc.date.issued2025
dc.description.abstractIn 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.
dc.identifier.citationCORRO, 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.
dc.identifier.doi10.17268/sel.mat.2025.01.03
dc.identifier.issne- 2411 - 1783
dc.identifier.urihttps://repositorio.bc.ufg.br//handle/ri/29226
dc.language.isoeng
dc.publisher.countryOutros
dc.publisher.departmentInstituto de Matemática e Estatística - IME (RMG)
dc.rightsAcesso Aberto
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectHyperbolic curvature radii
dc.subjectHolomorphic functions
dc.subjectWeingarten surfaces
dc.titleSurfaces with mean of the hyperbolic curvature radii of double harmonic type
dc.typeArtigo

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