{"id":42983,"date":"2018-03-17T11:38:36","date_gmt":"2018-03-17T11:38:36","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-inmersiones-isometricas-de-variedades-riemannianas-en-espacios-euclideos\/"},"modified":"2018-03-17T11:38:36","modified_gmt":"2018-03-17T11:38:36","slug":"sobre-inmersiones-isometricas-de-variedades-riemannianas-en-espacios-euclideos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-inmersiones-isometricas-de-variedades-riemannianas-en-espacios-euclideos\/","title":{"rendered":"Sobre inmersiones isometricas de variedades riemannianas en espacios euclideos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carles Curras Bosch <\/strong><\/h2>\n<p>Utilizando la generalizacion del teorema de bonnet para inmersiones isometricas de variedades riemannianos en espacios euclideos  en codimension cualquiera  se consigue establecer la descomposicion de las inmersiones isometricas en codimension dos con curvatura normal cero con hipotesis adecuadas  1 sobre el algebra de holonomia y 2 sobre el algebra de lie de isometrias infinitesimales. Siguiendo con la tecnica anterior se estudian algunas inmersiones isometricas en las que es posible reducir la codimension. Por ultimo se estudia la influencia que tiene sobre los tensores del fibrado normal el hecho de que una isometria infinitesimal de la variedad sea la restriccion de una del espacio euclideo ambiente  se establecen resultados de rigidez para tales inmersiones  1 en codimension uno y luego en cualquier codimension  dandose por ultimo algunos ejemplos de tales inmersiones.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre inmersiones isometricas de variedades riemannianas en espacios euclideos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre inmersiones isometricas de variedades riemannianas en espacios euclideos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carles Curras Bosch <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1977<\/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>Jose Vaquer Timoner<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jose Vaquer Timoner <\/li>\n<li>Juan Girbau Bado (vocal)<\/li>\n<li>Enrique Vidal Abascal (vocal)<\/li>\n<li>Jos\u00e9 Teixidor Batlle (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carles Curras Bosch Utilizando la generalizacion del teorema de bonnet para inmersiones isometricas de variedades riemannianos en [&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 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