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

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In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given...

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Detalles Bibliográficos
Autores: V. Corro, Armando M., C. Riveros, Carlos M., P. de Aráujo, Raquel
Formato: artículo
Fecha de Publicación:2025
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/6617
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617
Nivel de acceso:acceso abierto
Materia:Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
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spelling Surfaces with mean of the hyperbolic curvature radii of double harmonic typeSurfaces with mean of the hyperbolic curvature radii of double harmonic typeSurfaces with mean of the hyperbolic curvature radii of double harmonic typeV. Corro, Armando M.C. Riveros, Carlos M.P. de Aráujo, RaquelHyperbolic curvature radiiholomorphic functionsWeingarten surfacesHyperbolic curvature radiiholomorphic functionsWeingarten surfacesHyperbolic curvature radiiholomorphic functionsWeingarten surfacesIn this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given a real function, we will present a family of DHRMC-surfaces that depend on two holomorphic functions. Moreover, we classify the DHRMC-surfaces of rotation.In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given a real function, we will present a family of DHRMC-surfaces that depend on two holomorphic functions. Moreover, we classify the DHRMC-surfaces of rotation.In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given a real function, we will present a family of DHRMC-surfaces that depend on two holomorphic functions. Moreover, we classify the DHRMC-surfaces of rotation.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 33 - 43Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 33 - 43Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 33 - 432411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617/6853https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66172025-07-26T15:43:48Z
dc.title.none.fl_str_mv Surfaces with mean of the hyperbolic curvature radii of double harmonic type
Surfaces with mean of the hyperbolic curvature radii of double harmonic type
Surfaces with mean of the hyperbolic curvature radii of double harmonic type
title Surfaces with mean of the hyperbolic curvature radii of double harmonic type
spellingShingle Surfaces with mean of the hyperbolic curvature radii of double harmonic type
V. Corro, Armando M.
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
title_short Surfaces with mean of the hyperbolic curvature radii of double harmonic type
title_full Surfaces with mean of the hyperbolic curvature radii of double harmonic type
title_fullStr Surfaces with mean of the hyperbolic curvature radii of double harmonic type
title_full_unstemmed Surfaces with mean of the hyperbolic curvature radii of double harmonic type
title_sort Surfaces with mean of the hyperbolic curvature radii of double harmonic type
dc.creator.none.fl_str_mv V. Corro, Armando M.
C. Riveros, Carlos M.
P. de Aráujo, Raquel
author V. Corro, Armando M.
author_facet V. Corro, Armando M.
C. Riveros, Carlos M.
P. de Aráujo, Raquel
author_role author
author2 C. Riveros, Carlos M.
P. de Aráujo, Raquel
author2_role author
author
dc.subject.none.fl_str_mv Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
topic Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
Hyperbolic curvature radii
holomorphic functions
Weingarten surfaces
description In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given a real function, we will present a family of DHRMC-surfaces that depend on two holomorphic functions. Moreover, we classify the DHRMC-surfaces of rotation.
publishDate 2025
dc.date.none.fl_str_mv 2025-07-26
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6617/6853
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 33 - 43
Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 33 - 43
Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 33 - 43
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.439101
Surfaces with mean of the hyperbolic curvature radii of double harmonic type
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