Isometric deformation of surfaces in R 3 preserving the mean curvature function
Autor(a) principal: | |
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Data de Publicação: | 1989 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da Universidade Federal do Ceará (UFC) |
Texto Completo: | http://www.repositorio.ufc.br/handle/riufc/40845 |
Resumo: | The purpose of this paper is to classify surfaces in Euclidean 3- space with constant Gaussian curvature which admit non-trivial oneparameter families of isometric immersions preserving the mean curvature function. It is shown that the Gaussian curvature must be zero and, if the mean curvature is not constant, then such isometric immersions are some deformations of the cylinder over a logarithmic spiral. |
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Repositório Institucional da Universidade Federal do Ceará (UFC) |
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spelling |
Isometric deformation of surfaces in R 3 preserving the mean curvature functionEspaço euclidianoImersões (Matemática)Curvatura médiaThe purpose of this paper is to classify surfaces in Euclidean 3- space with constant Gaussian curvature which admit non-trivial oneparameter families of isometric immersions preserving the mean curvature function. It is shown that the Gaussian curvature must be zero and, if the mean curvature is not constant, then such isometric immersions are some deformations of the cylinder over a logarithmic spiral.Pacific Journal of Mathematics2019-04-12T13:40:34Z2019-04-12T13:40:34Z1989info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfCOLARES, Antônio Gervásio; KENMOTSU,Katsuei. Isometric deformation of surfaces in R 3 preserving the mean curvature function. Pacific Journal of Mathematics, USA, v. 136, n.1, p. 71-80, 1989.http://www.repositorio.ufc.br/handle/riufc/40845Colares, Antonio GervásioKenmotsu, Katsueiinfo:eu-repo/semantics/openAccessengreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFC2023-10-31T14:37:24Zoai:repositorio.ufc.br:riufc/40845Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2023-10-31T14:37:24Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false |
dc.title.none.fl_str_mv |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
title |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
spellingShingle |
Isometric deformation of surfaces in R 3 preserving the mean curvature function Colares, Antonio Gervásio Espaço euclidiano Imersões (Matemática) Curvatura média |
title_short |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
title_full |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
title_fullStr |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
title_full_unstemmed |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
title_sort |
Isometric deformation of surfaces in R 3 preserving the mean curvature function |
author |
Colares, Antonio Gervásio |
author_facet |
Colares, Antonio Gervásio Kenmotsu, Katsuei |
author_role |
author |
author2 |
Kenmotsu, Katsuei |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Colares, Antonio Gervásio Kenmotsu, Katsuei |
dc.subject.por.fl_str_mv |
Espaço euclidiano Imersões (Matemática) Curvatura média |
topic |
Espaço euclidiano Imersões (Matemática) Curvatura média |
description |
The purpose of this paper is to classify surfaces in Euclidean 3- space with constant Gaussian curvature which admit non-trivial oneparameter families of isometric immersions preserving the mean curvature function. It is shown that the Gaussian curvature must be zero and, if the mean curvature is not constant, then such isometric immersions are some deformations of the cylinder over a logarithmic spiral. |
publishDate |
1989 |
dc.date.none.fl_str_mv |
1989 2019-04-12T13:40:34Z 2019-04-12T13:40:34Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
COLARES, Antônio Gervásio; KENMOTSU,Katsuei. Isometric deformation of surfaces in R 3 preserving the mean curvature function. Pacific Journal of Mathematics, USA, v. 136, n.1, p. 71-80, 1989. http://www.repositorio.ufc.br/handle/riufc/40845 |
identifier_str_mv |
COLARES, Antônio Gervásio; KENMOTSU,Katsuei. Isometric deformation of surfaces in R 3 preserving the mean curvature function. Pacific Journal of Mathematics, USA, v. 136, n.1, p. 71-80, 1989. |
url |
http://www.repositorio.ufc.br/handle/riufc/40845 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Pacific Journal of Mathematics |
publisher.none.fl_str_mv |
Pacific Journal of Mathematics |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da Universidade Federal do Ceará (UFC) instname:Universidade Federal do Ceará (UFC) instacron:UFC |
instname_str |
Universidade Federal do Ceará (UFC) |
instacron_str |
UFC |
institution |
UFC |
reponame_str |
Repositório Institucional da Universidade Federal do Ceará (UFC) |
collection |
Repositório Institucional da Universidade Federal do Ceará (UFC) |
repository.name.fl_str_mv |
Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC) |
repository.mail.fl_str_mv |
bu@ufc.br || repositorio@ufc.br |
_version_ |
1809935777956626432 |