{"id":18139,"date":"2002-05-07T00:00:00","date_gmt":"2002-05-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aplicaciones-del-contacto-con-p-esferas-al-estudio-de-invariantes-conformes\/"},"modified":"2002-05-07T00:00:00","modified_gmt":"2002-05-07T00:00:00","slug":"aplicaciones-del-contacto-con-p-esferas-al-estudio-de-invariantes-conformes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aplicaciones-del-contacto-con-p-esferas-al-estudio-de-invariantes-conformes\/","title":{"rendered":"Aplicaciones del contacto con p-esferas al estudio de invariantes conformes"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Esther Sanabria Codesal <\/strong><\/h2>\n<p>Siguiendo el modelo de la geometr\u00eda dado por klein, donde las propiedades geom\u00e9tricas de las subvariantes son las caracter\u00edsticas que permanecen invariantes bajo un grupo de transformaciones, aproximamos las subvariedades por objetos geom\u00e9tricos bien conocidos (invariantes bajo dicho grupo de transformaciones) de manera que las caracter\u00edsticas propias del objeto que mejor aproxima a la subvariedad en cada punto determine los invariantes geom\u00e9tricos locales de la subvariedad. Esta idea nos conduce a estudiar las propiedades de las subvariedades bajo el punto de vista conforme analizando sus contactos con las esferas, ya que las transformaciones conformes las dejan invariantes. Un destacado avance que las t\u00e9cnicas introducidas en esta memoria consiste en:  * determinar invariantes conformes para curvas en el espacio euclido n-dimensional que generalizan los ya conocidos para curvas planas y en el espacio tridimensional.  * reobtener de manera sencilla y unificada diversos invariantes conformes para hipersuperficies utilizando invariantes conformes a lo largo de las lineas de curvatura.  * delinear un m\u00e9todo para determinar invariantes en el caso de subvariedades de codimensi\u00f3n mayor que uno.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aplicaciones del contacto con p-esferas al estudio de invariantes conformes<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aplicaciones del contacto con p-esferas al estudio de invariantes conformes <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Esther Sanabria Codesal <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Universitat de val\u00e9ncia (estudi general)<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/07\/2002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Romero Fuster M. Carmen<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: angel Montesinos amilibia <\/li>\n<li>rosario Pinto Mar\u00eda (vocal)<\/li>\n<li>Ana Lluch peris (vocal)<\/li>\n<li>bernd Wegner (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Esther Sanabria Codesal Siguiendo el modelo de la geometr\u00eda dado por klein, donde las propiedades geom\u00e9tricas de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[583,128,126],"tags":[27206,27207,56422,56419,56420,56421],"class_list":["post-18139","post","type-post","status-publish","format-standard","hentry","category-geometria","category-geometria-diferencial","category-matematicas","tag-ana-lluch-peris","tag-angel-montesinos-amilibia","tag-bernd-wegner","tag-esther-sanabria-codesal","tag-romero-fuster-m-carmen","tag-rosario-pinto-maria"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/18139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=18139"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/18139\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=18139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=18139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=18139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}