{"id":71969,"date":"2018-03-09T23:16:42","date_gmt":"2018-03-09T23:16:42","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/problemas-isoperimetricos-en-variedades-riemannianas\/"},"modified":"2018-03-09T23:16:42","modified_gmt":"2018-03-09T23:16:42","slug":"problemas-isoperimetricos-en-variedades-riemannianas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/problemas-isoperimetricos-en-variedades-riemannianas\/","title":{"rendered":"Problemas isoperim\u00e9tricos en variedades riemannianas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Manuel Cesar Rosales Lombardo <\/strong><\/h2>\n<p>En esta tesis doctoral se aplican tecnicas geom\u00e9tricas, anal\u00edticas y de c\u00e1lculo de variaciones para obtener nuevos resultados acerca del problema isoperim\u00e9trico dentro de un dominio de una variedad riemanniana.  la tesis se divide en cinco cap\u00edtulos. El primero est\u00e1 dedicado a introducir al lector los prerrequisitos necesarios en el estudio de problemas isoperim\u00e9tricos. en el segundo obtenemos desigualdades isoperim\u00e9tricas para el per\u00edmetro relativo que involucran a una cota inferior para la curvatura de ricci sobre un convexo de una variedad riemanniana. En el tercer cap\u00edtulo tratamos el problema de frontera libre en un cono s\u00f3lido del espacio eucl\u00eddeo: obtenemos nuevos criterios de existencia de regiones isoperim\u00e9tricas y clasificamos las regiones estables y acotadas permitiendo un conjunto peque\u00f1o de singularidades en su borde. En la cuarta parte establecemos una condici\u00f3n sobre un cuerpo convexo del espacio eucl\u00eddeo que asegura que las regiones minimizantes bajo una restricci\u00f3n de volumen del per\u00edmetro eucl\u00eddeo son convexas. Finalmente estudiamos el problema isoperim\u00e9trico en el grupo de heisenberg provisto de un funcional de per\u00edmetro sub-riemanniano: establecemos un nuevo concepto de curvatura media para superficies y clasificamos las superficies de revoluci\u00f3n con curvatura media constante en este ambiente.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Problemas isoperim\u00e9tricos en variedades riemannianas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Problemas isoperim\u00e9tricos en variedades riemannianas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Manuel Cesar Rosales Lombardo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 17\/12\/2004<\/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>Manuel Mar\u00eda Ritore Cortes<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Ros mulero <\/li>\n<li>Luis Guijarro santamar\u00eda (vocal)<\/li>\n<li>vicente Miquel molina (vocal)<\/li>\n<li>vincent Bayle (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Manuel Cesar Rosales Lombardo En esta tesis doctoral se aplican tecnicas geom\u00e9tricas, anal\u00edticas y de c\u00e1lculo 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 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