{"id":26483,"date":"2018-03-09T09:18:19","date_gmt":"2018-03-09T09:18:19","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-cohomologico-de-flujos-riemannianos\/"},"modified":"2018-03-09T09:18:19","modified_gmt":"2018-03-09T09:18:19","slug":"estudio-cohomologico-de-flujos-riemannianos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/pais-vasco-euskal-herriko-unibertsitatea\/estudio-cohomologico-de-flujos-riemannianos\/","title":{"rendered":"Estudio cohomol\u00f3gico de flujos riemannianos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Ignacio Royo Prieto <\/strong><\/h2>\n<p>Una acci\u00f3n diferenciable de r sobre una variedad m induce una foliaci\u00f3n f, y estamos interesados en relacionar la cohomolog\u00eda de de rham de m y la del espacio cociente m\/f o cohomolog\u00eda b\u00e1sica, que ha demostrado ser un invariante adaptado y rico. En el caso de una acci\u00f3n de circulo s1 esta relaci\u00f3n est\u00e1 dada por la cl\u00e1sica sucesi\u00f3n exacta de gysin.  en esta memoria se extiende la sucesi\u00f3n de gysin al caso de flujos riemannianos, es dicir, acciones de r que inducen una foliaci\u00f3n riemanniana. Tras un primer cap\u00edtulo de material preliminar sobre foliaciones, se aborda en el cap\u00edtulo 2 el caso de un flujo riemanniano regular. En el tercer cap\u00edtulo se obtiene la sucesi\u00f3n de gysin para flujos riemannianos singulares, es decir, con puntos fijos. En ambos casos, se obtiene adem\u00e1s una caracterizaci\u00f3n geom\u00e9trica de la nulidad de la clase de euler. En el caso singular se construye la sucesi\u00f3n de gysin utilizando la cohomolog\u00eda b\u00e1sica de intersecci\u00f3n, y se prueba que esta cohomolog\u00eda satisface la dualidad de poincar\u00e9. Fundamentalmente se utilizan t\u00e9cnicas de tipo mayer-vietoris, usando fuertemente la estructura local de los flujos.  en el cap\u00edtulo 4 se realiza una aproximaci\u00f3n a los flujos riemannianos singulares desde la cohomolog\u00eda equivariante. Se propone un modelo (modelo de gysin) para calcular la cohomolog\u00eda equivariante de flujos isom\u00e9tricos y se prueba un teorema de localizaci\u00f3n para flujos riemannianos singulares.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio cohomol\u00f3gico de flujos riemannianos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio cohomol\u00f3gico de flujos riemannianos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Ignacio Royo Prieto <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 24\/10\/2003<\/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> Saralegi Aranguren Mart\u00edn Eulogio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Fern\u00e1ndez rodr\u00edguez Mar\u00eda Luisa <\/li>\n<li>Jes\u00fas Antonio Alvarez lopez (vocal)<\/li>\n<li>gilbert Hector (vocal)<\/li>\n<li>xose Mar\u00eda Masa vazquez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Ignacio Royo Prieto Una acci\u00f3n diferenciable de r sobre una variedad m induce una foliaci\u00f3n f, [&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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