Hypersurfaces associated to Sn by a sphere congruence
Descripción del Articulo
In this work a sufficient condition is exhibited for a hypersurface in Rn+1 to be the envelope of a sphere congruence whose other envelope is contained in a unit sphere. A local parametrization for such envelopes is provided depending on an orthogonal local parametrization of Sn and their fundamenta...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2019 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | portugués español |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/2630 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630 |
| Nivel de acceso: | acceso abierto |
| Materia: | Sphere congruence envelope of a sphere congruence surfaces associated by a sphere congruence Congruencia de esferas envelope de uma congruencia de esferas superfícies associadas por uma congruencia de esferas |
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Hypersurfaces associated to Sn by a sphere congruenceHipersuperfícies associadas a Sn por uma congruencia de esferasPereira Santos, Laredo RennanSphere congruenceenvelope of a sphere congruencesurfaces associated by a sphere congruenceCongruencia de esferasenvelope de uma congruencia de esferassuperfícies associadas por uma congruencia de esferasIn this work a sufficient condition is exhibited for a hypersurface in Rn+1 to be the envelope of a sphere congruence whose other envelope is contained in a unit sphere. A local parametrization for such envelopes is provided depending on an orthogonal local parametrization of Sn and their fundamental forms are described. Finally, a necessary and sufficient condition is presented so that such hypersurfaces are parametrized by lines of curvature and so that they are of rotation.Neste trabalho e exibida uma condicao suficiente para que uma hipersuperfície em Rn+1 seja o envelope de uma congruencia de esferas cujo outro envelope esteja contido em uma esfera unitária. E fornecida uma parametrizacao local para tais envelopes dependendo de uma parametrizacao local ortogonal de Sn e descritas suas formas fundamentais.Por fim e apresentada uma condicao necessária e suficiente para que tais hipersuperfícies estejam parametrizadas por linhas de curvaturas e para que sejam de rotacao.National University of Trujillo - Academic Department of Mathematics2019-12-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 225-237Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 225-237Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 225-2372411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUporspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630/2649https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630/2670Derechos de autor 2019 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/26302022-10-21T18:52:01Z |
| dc.title.none.fl_str_mv |
Hypersurfaces associated to Sn by a sphere congruence Hipersuperfícies associadas a Sn por uma congruencia de esferas |
| title |
Hypersurfaces associated to Sn by a sphere congruence |
| spellingShingle |
Hypersurfaces associated to Sn by a sphere congruence Pereira Santos, Laredo Rennan Sphere congruence envelope of a sphere congruence surfaces associated by a sphere congruence Congruencia de esferas envelope de uma congruencia de esferas superfícies associadas por uma congruencia de esferas |
| title_short |
Hypersurfaces associated to Sn by a sphere congruence |
| title_full |
Hypersurfaces associated to Sn by a sphere congruence |
| title_fullStr |
Hypersurfaces associated to Sn by a sphere congruence |
| title_full_unstemmed |
Hypersurfaces associated to Sn by a sphere congruence |
| title_sort |
Hypersurfaces associated to Sn by a sphere congruence |
| dc.creator.none.fl_str_mv |
Pereira Santos, Laredo Rennan |
| author |
Pereira Santos, Laredo Rennan |
| author_facet |
Pereira Santos, Laredo Rennan |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Sphere congruence envelope of a sphere congruence surfaces associated by a sphere congruence Congruencia de esferas envelope de uma congruencia de esferas superfícies associadas por uma congruencia de esferas |
| topic |
Sphere congruence envelope of a sphere congruence surfaces associated by a sphere congruence Congruencia de esferas envelope de uma congruencia de esferas superfícies associadas por uma congruencia de esferas |
| description |
In this work a sufficient condition is exhibited for a hypersurface in Rn+1 to be the envelope of a sphere congruence whose other envelope is contained in a unit sphere. A local parametrization for such envelopes is provided depending on an orthogonal local parametrization of Sn and their fundamental forms are described. Finally, a necessary and sufficient condition is presented so that such hypersurfaces are parametrized by lines of curvature and so that they are of rotation. |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019-12-24 |
| 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/2630 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630 |
| dc.language.none.fl_str_mv |
por spa |
| language |
por spa |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630/2649 https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2630/2670 |
| dc.rights.none.fl_str_mv |
Derechos de autor 2019 Selecciones Matemáticas info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Derechos de autor 2019 Selecciones Matemáticas |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf text/html |
| 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. 6 No. 02 (2019): August - December; 225-237 Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 225-237 Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 225-237 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 |
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1843984363831689216 |
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13.031009 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
