{"id":85465,"date":"2018-03-10T00:09:53","date_gmt":"2018-03-10T00:09:53","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/curvas-criticas-en-variedades-riemannianas-y-lorentzianas-con-borde\/"},"modified":"2018-03-10T00:09:53","modified_gmt":"2018-03-10T00:09:53","slug":"curvas-criticas-en-variedades-riemannianas-y-lorentzianas-con-borde","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/curvas-criticas-en-variedades-riemannianas-y-lorentzianas-con-borde\/","title":{"rendered":"Curvas criticas en variedades riemannianas y lorentzianas con borde."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rossella Bartolo <\/strong><\/h2>\n<p>Se estudian algunos problemas jglobales acerca de curvas en vaiedades de riemann y de lorentz con borde mediante m\u00e9todos variacionales. Concretamente, se consideran las siguientes curvas:  1 geod\u00e9sicas que unen dos puntos, 2 geod\u00e9sicas cerradas y 3 trayectorias de part\u00edculas bajo un potencial.  cuando se estudian en una variedad reimanniana m, jestas curvas sonpuntos cr\u00edticos de funcionales acotados inferiormente sobre algunas variedades de hilbert. Con t\u00e9cnicas de penalizaci\u00f3n, se puede demostrar su existencia (y, a veces, multiplicidad) bajo hip\u00f3tesis ajustadas sobre el borde (en nuestro estudio, no necesarimente diferenciable) de la variedad m.  cuando m es una variedad lorentziana, debido a la indefinici\u00f3n de la m\u00e9trica, los correspondientes funcionales son fuertemente indefinidos. Sin embargo, se aplican diversos principios variacionales que permiten obtener resultados de existencia para los tres tipos de curvas supracitadas. Estos resultados son aplicables a varios espciotiempos de inter\u00e9s en relatividad, generalmente estacionarios: kerr, reissner-nordstrom, schwarschild.  tanto en el caso riemanniano como en el lorentziano se lleva a cabo un cuidadoso estudio de las distintas hip\u00f3tesis de convexidad que deben hacerse sobre el borde de m para poder aplicar teor\u00eda de puntos cr\u00edticos en variedades de dimensi\u00f3n infinita, y en especial teor\u00eda de morse y teor\u00eda de ljusternik-schnrelmann. en particular, se revisan y extienden los resultados anteriores sobre estos problemas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Curvas criticas en variedades riemannianas y lorentzianas con borde.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Curvas criticas en variedades riemannianas y lorentzianas con borde. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rossella Bartolo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/06\/2000<\/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>Miguel S\u00e1nchez Caja<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Garcia perez pedro Luis <\/li>\n<li>vieri Benci (vocal)<\/li>\n<li>david Arcoya alvarez (vocal)<\/li>\n<li>angel Fernandez-izquierdo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rossella Bartolo Se estudian algunos problemas jglobales acerca de curvas en vaiedades de riemann y de lorentz [&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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