{"id":100281,"date":"2018-03-11T10:21:41","date_gmt":"2018-03-11T10:21:41","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/doubly-warped-structures-on-semi-riemanian-manifolds\/"},"modified":"2018-03-11T10:21:41","modified_gmt":"2018-03-11T10:21:41","slug":"doubly-warped-structures-on-semi-riemanian-manifolds","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-de-riemann\/doubly-warped-structures-on-semi-riemanian-manifolds\/","title":{"rendered":"Doubly warped structures on semi-riemanian manifolds"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Benjamin Olea Andrades <\/strong><\/h2>\n<p>T\u00edtulo de la tesis: doubly warped structures on semi-rlemannlan manlfolds. resumen: las generalizaciones m\u00e1s importantes del cl\u00e1sico teorema de descomposici\u00f3n de de rham-wu fueron obtenidas por n. Koike en 1990 y r. Ponge y h. Reckziegel en 1993. Para ello, estos autores consideraron una variedad semi-riemannian con dos foliaciones ortogonales y complementarias que cumplen ciertas condiciones geom\u00e9tricas. Este punto de vista es bastante natural, ya que la hip\u00f3tesis de reducibilidad d\u00e9bil del teorema de de rham-wu da lugar a dos foliaciones ortogonales, complementarias y geod\u00e9sicas. En cualquier caso, la simple conexi\u00f3n de la variedad siempre es asumida, lo cual es una fuerte restricci\u00f3n topol\u00f3gica. El primer intento de eliminar esta restricci\u00f3n fue hecho por p. Wang en 1973, quien obtuvo condiciones necesarias y suficientes para que una variedad riemanniana con dos foliaciones ortogonales, complementarias y geod\u00e9sicas sea el producto directo de dos hojas. Este autor us\u00f3 t\u00e9cnicas t\u00edpicamente riemannianas lo cual nos ha motivado a desarrollar nuevas herramientas que permitan abordar el problema anterior en un ambiente semi-riemanniano y para foliaciones m\u00e1s generales que las geod\u00e9sicas. En concreto, hemos considerado variedades semi-riemannianas con un par de foliaciones complementarias, ortogonales, umb\u00edlicas y con vector de curvatura media cerrado, probando resultados acerca de su estructura y obteniendo las condiciones necesarias y suficientes para descomponer globalmente como un producto alabeado doble. por otro lado, el problema de la unicidad de la descomposici\u00f3n no ha sido tratado en la literatura matem\u00e1tica, excepto en el propio teorema de de rham-wu y en el trabajo de j.H. Eschenburg y e. Heintze, donde se establece la unicidad de la descomposici\u00f3n como producto directo de una variedad riemanniana. El uso de las t\u00e9cnicas desarrolladas en esta memoria nos ha permitido obtener la unicidad para productos directos semi-riemannianos y espacios est\u00e1ticos y robertson-walker generalizados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Doubly warped structures on semi-riemanian manifolds<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Doubly warped structures on semi-riemanian manifolds <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Benjamin Olea Andrades <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 M\u00e1laga<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 15\/04\/2010<\/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 Gutierrez  Lopez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco javier Turiel sandin <\/li>\n<li>eduardo Garc\u00eda r\u00edo (vocal)<\/li>\n<li>olaf M\u00ed\u00bcller (vocal)<\/li>\n<li>Miguel S\u00e1nchez caja (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Benjamin Olea Andrades T\u00edtulo de la tesis: doubly warped structures on semi-rlemannlan manlfolds. resumen: las generalizaciones m\u00e1s [&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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