{"id":16207,"date":"2018-03-09T09:03:42","date_gmt":"2018-03-09T09:03:42","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/calculo-de-variaciones-con-ligaduras-sobre-variedades-fibradas-aplicacion-al-problema-de-la-reduccion-lagranciana\/"},"modified":"2018-03-09T09:03:42","modified_gmt":"2018-03-09T09:03:42","slug":"calculo-de-variaciones-con-ligaduras-sobre-variedades-fibradas-aplicacion-al-problema-de-la-reduccion-lagranciana","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/calculo-de-variaciones-con-ligaduras-sobre-variedades-fibradas-aplicacion-al-problema-de-la-reduccion-lagranciana\/","title":{"rendered":"C\u00e1lculo de variaciones con ligaduras sobre variedades fibradas. aplicaci\u00f3n al problema de la reducci\u00f3n lagranciana"},"content":{"rendered":"<h2>Tesis doctoral de <strong> C\u00e9sar Rodrigo Fern\u00e1ndez <\/strong><\/h2>\n<p>Se desarrolla un formalismo para el c\u00e1lculo de variaciones con ligaduras de orden superior en variables fibradas a trav\u00e9s de la parametrizaci\u00f3n de las variaciones infinitesimales admisibles mediante operadores diferenciales.  tras formular el problema en t\u00e9rminos de una subvariedad de ligadura y un \u00e1lgebra de variaci\u00f3n, se obtienen nuevas f\u00f3rmulas de la primera y segunda variaci\u00f3n, as\u00ed como la caracterizaci\u00f3n de secciones cr\u00edticas mediante ecuaciones de euler-lagrange. Se desarrolla tambi\u00e9n la teor\u00eda de noether de este tipo de problemas as\u00ed como la correspondiente teor\u00eda de tensores de impulso-energ\u00eda. El estudio de la reducci\u00f3n lagrangiana de un problema variacional libre lleva a resultados sobre la relaci\u00f3n de estos problemas con los problemas ligados que se obtienen por reducci\u00f3n suya mediante morfismos de fibrados.  se muestra la aplicaci\u00f3n de esta teor\u00eda a los ejemplos del electromagnetismo, reducci\u00f3n de fibrados principales, fluidos relativistas, subvariedades lagrangianas h-m\u00ednimas y al problema de lagrange, para el que se obitne la correspondiente forma de poincar\u00e9-cartan y se establece la relaci\u00f3n con la teor\u00eda de los multiplicadores de lagrange.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>C\u00e1lculo de variaciones con ligaduras sobre variedades fibradas. aplicaci\u00f3n al problema de la reducci\u00f3n lagranciana<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 C\u00e1lculo de variaciones con ligaduras sobre variedades fibradas. aplicaci\u00f3n al problema de la reducci\u00f3n lagranciana <\/li>\n<li><strong>Autor:<\/strong>\u00a0 C\u00e9sar Rodrigo Fern\u00e1ndez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Salamanca<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/03\/2002<\/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> Garc\u00eda P\u00e9rez Pedro L.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio P\u00e9rez-rend\u00f3n collantes <\/li>\n<li>Miguel Carlos Mu\u00f1oz lecanda (vocal)<\/li>\n<li>Jaime Mu\u00f1oz masqu\u00e9 (vocal)<\/li>\n<li>marco Modugno (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de C\u00e9sar Rodrigo Fern\u00e1ndez Se desarrolla un formalismo para el c\u00e1lculo de variaciones con ligaduras de orden superior [&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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