Surfaces with quadratic support function

Descripción del Articulo

In this paper, we study oriented surfaces S in R3, called surfaces with quadratic support function (in short QSF-surfaces). We obtain a Weierstrass type representation for the QSF-surfaces which depends on two holomorphic functions. Moreover, classify the QSF-surfaces of rotation. Also, we give some...

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Detalles Bibliográficos
Autores: V. Corro, Armando M., T. Carretero, Jose L., C. Rivero , Carlos M.
Formato: artículo
Fecha de Publicación:2024
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/5912
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5912
Nivel de acceso:acceso abierto
Materia:Weingarten surfaces
Ribaucour surfaces
support function
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spelling Surfaces with quadratic support functionV. Corro, Armando M.T. Carretero, Jose L. C. Rivero , Carlos M.Weingarten surfacesRibaucour surfacessupport functionIn this paper, we study oriented surfaces S in R3, called surfaces with quadratic support function (in short QSF-surfaces). We obtain a Weierstrass type representation for the QSF-surfaces which depends on two holomorphic functions. Moreover, classify the QSF-surfaces of rotation. Also, we give some explicit examples of this class of surfaces.National University of Trujillo - Academic Department of Mathematics2024-07-29info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/5912Selecciones Matemáticas; Vol. 11 No. 01 (2024): January - July; 20 - 29Selecciones Matemáticas; Vol. 11 Núm. 01 (2024): Enero - Julio; 20 - 29Selecciones Matemáticas; v. 11 n. 01 (2024): Janeiro - Julho; 20 - 292411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/5912/6016Derechos de autor 2024 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/59122024-07-29T16:50:33Z
dc.title.none.fl_str_mv Surfaces with quadratic support function
title Surfaces with quadratic support function
spellingShingle Surfaces with quadratic support function
V. Corro, Armando M.
Weingarten surfaces
Ribaucour surfaces
support function
title_short Surfaces with quadratic support function
title_full Surfaces with quadratic support function
title_fullStr Surfaces with quadratic support function
title_full_unstemmed Surfaces with quadratic support function
title_sort Surfaces with quadratic support function
dc.creator.none.fl_str_mv V. Corro, Armando M.
T. Carretero, Jose L.
C. Rivero , Carlos M.
author V. Corro, Armando M.
author_facet V. Corro, Armando M.
T. Carretero, Jose L.
C. Rivero , Carlos M.
author_role author
author2 T. Carretero, Jose L.
C. Rivero , Carlos M.
author2_role author
author
dc.subject.none.fl_str_mv Weingarten surfaces
Ribaucour surfaces
support function
topic Weingarten surfaces
Ribaucour surfaces
support function
description In this paper, we study oriented surfaces S in R3, called surfaces with quadratic support function (in short QSF-surfaces). We obtain a Weierstrass type representation for the QSF-surfaces which depends on two holomorphic functions. Moreover, classify the QSF-surfaces of rotation. Also, we give some explicit examples of this class of surfaces.
publishDate 2024
dc.date.none.fl_str_mv 2024-07-29
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/5912
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5912
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/5912/6016
dc.rights.none.fl_str_mv Derechos de autor 2024 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2024 Selecciones Matemáticas
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. 11 No. 01 (2024): January - July; 20 - 29
Selecciones Matemáticas; Vol. 11 Núm. 01 (2024): Enero - Julio; 20 - 29
Selecciones Matemáticas; v. 11 n. 01 (2024): Janeiro - Julho; 20 - 29
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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Surfaces with quadratic support function
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