{"id":64176,"date":"2018-03-09T22:52:11","date_gmt":"2018-03-09T22:52:11","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algunos-problemas-de-tipo-isoperimetrico\/"},"modified":"2018-03-09T22:52:11","modified_gmt":"2018-03-09T22:52:11","slug":"algunos-problemas-de-tipo-isoperimetrico","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-diferencial\/algunos-problemas-de-tipo-isoperimetrico\/","title":{"rendered":"Algunos problemas de tipo isoperim\u00e9trico"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Orengo Valverde Jos\u00e9 Javier <\/strong><\/h2>\n<p>El objetivo que se aborda en la tesis es el estudio del problema isoperim\u00e9trico en variedades de rieman. En este contexto general se presentan algunos resultados que pueden resumirse en: 1) obtenci\u00f3n de desigualdades isoperim\u00e9tricas para sectores de superficies y, en general, para conos de \u00e1ngulos s\u00f3lidos peque\u00f1os, y caracterizaciones de las igualdades. 2) b\u00fasqueda de una cota superior fina del primer valor propio de la laplaciana de una hipersuperficie cerrada m embebida en la variedad ambiente, utilizando un invariante extr\u00ednseco: el volumen encerrado por m. 3) acotaci\u00f3n de la curvatura media de una hipersuperficie compacta m embebida en un espacio formal real o complejo. Tales cotas dependen del cociente isoperim\u00e9trico volumen (m)\/volumen ( omega), donde omega es el dominio encerrado por m, del radio de la m\u00ednima bola geod\u00e9sica que contiene a  omega y\/o del radio de la m\u00e1xima bola geod\u00e9sica contenida en omega. Estas cotas son alcanzables.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algunos problemas de tipo isoperim\u00e9trico<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algunos problemas de tipo isoperim\u00e9trico <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Orengo Valverde Jos\u00e9 Javier <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/04\/2008<\/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>Fernando Gimenez Palomares<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Mart\u00ednez naveira <\/li>\n<li>Ana Lluch peris (vocal)<\/li>\n<li>agusti Reventos tarrida (vocal)<\/li>\n<li>Juan  angel Aledo sanchez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Orengo Valverde Jos\u00e9 Javier El objetivo que se aborda en la tesis es el estudio del problema [&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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