{"id":70667,"date":"2004-05-10T00:00:00","date_gmt":"2004-05-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/espacios-hiperbolicos-en-sentido-de-gromov\/"},"modified":"2004-05-10T00:00:00","modified_gmt":"2004-05-10T00:00:00","slug":"espacios-hiperbolicos-en-sentido-de-gromov","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/espacios-hiperbolicos-en-sentido-de-gromov\/","title":{"rendered":"Espacios hiperbolicos en sentido de gromov"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Eva Touris Lojo <\/strong><\/h2>\n<p>El objetivo de esta tesis es el estudio de la hiperbolicidad en el sentido de gromov; en concreto, buscamos dar criterios que la garanticen.  para ello, hemos atacado el problema de dos formas distintas. Primero nos planteamos c\u00f3mo utilizar la informaci\u00f3n local acerca de la hiperbolicidad de un espacio, para poder garantizar la hiperbolicidad de \u00e9ste; por tanto, el principal m\u00e9rito de estos teoremas es conseguir informaci\u00f3n global a partir de informaci\u00f3n local.  La segunda forma de enfocar el problema consiste en plantear la siguiente cuesti\u00f3n: \u00c2\u00bfes necesario verificar la condici\u00f3n de rips para todos los tri\u00e1ngulos geod\u00e9sicos o podemos encontrar una clase de tri\u00e1ngulos m\u00e1s restringida?  para el primer punto, la idea es descomponer el espacio m\u00e9trico como una uni\u00f3n de subespacios  y estudiar la  hiperbolicidad en cada uno de ellos. esta es una t\u00e9cnica (cortar y pegar) usual  en la teor\u00eda de superficies de riemann. Bajo ciertas condiciones hemos conseguido resultados interesantes.  con respecto al segundo enfoque, el teorema 3.3.1 constituye otro de los principales resultados de esta tesis, pues permite restringir  dr\u00e1sticamente el conjunto de tri\u00e1ngulos sobre los que es necesario verificar la condici\u00f3n de rips: basta considerar los tri\u00e1ngulos contenidos en geod\u00e9sicas simples cerradas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Espacios hiperbolicos en sentido de gromov<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Espacios hiperbolicos en sentido de gromov <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Eva Touris Lojo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/10\/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> Rodriguez Garcia Jos\u00e9 Manuel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan espa\u00f1ol <\/li>\n<li>artur Nicolau nos (vocal)<\/li>\n<li>Jos\u00e9 Luis Fernandez  perez (vocal)<\/li>\n<li>Jes\u00fas Donaire Juan (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Eva Touris Lojo El objetivo de esta tesis es el estudio de la hiperbolicidad en el sentido [&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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