{"id":135306,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/lagrangianas-compatibles-con-una-metrica-riemanniana-en-mecanica-de-orden-superior-y-problemas-variacionales-asociados\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"lagrangianas-compatibles-con-una-metrica-riemanniana-en-mecanica-de-orden-superior-y-problemas-variacionales-asociados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/lagrangianas-compatibles-con-una-metrica-riemanniana-en-mecanica-de-orden-superior-y-problemas-variacionales-asociados\/","title":{"rendered":"Lagrangianas compatibles con una metrica riemanniana en mecanica de orden superior y problemas variacionales asociados."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Gerardo Rodriguez Sanchez <\/strong><\/h2>\n<p>El objetivo principal de la tesis es determinar que lagrangianas de orden superior son las analogas de la energia cinetica para las lagrangianas de primer orden.  se introduce la nocion de fibrados en grupos de lie operando sobre variedades fibradas (accion gauge) y se demuestra la finitud del anillo de invariantes.  la situacion anterior se aplica a la accion del fibrado ortogonal o(x,g) de una variedad riemanniana (x,g) operando sobre el fibrado de r-jets jr(r,x),  dando la base de lagrangianas invariantes por dicha accion.  tambien se estudian los invariantes por la accion del fibrado so(x) y del fibrado de isotropia g (para variedades homogeneas).  se estudia el problema variacional definido por las energias superiores err calculando las extremales de dicho problema, estudiando sus propiedades y la ecuacion diferencial de los campos de jacobi.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Lagrangianas compatibles con una metrica riemanniana en mecanica de orden superior y problemas variacionales asociados.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Lagrangianas compatibles con una metrica riemanniana en mecanica de orden superior y problemas variacionales asociados. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Gerardo Rodriguez Sanchez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Salamanca<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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> Garcia Perez Pedro Luis<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Perez-rendon Collantes <\/li>\n<li>Pedro Martinez Gadea (vocal)<\/li>\n<li> Amores Lazaro Angel M. (vocal)<\/li>\n<li>Fernando Etayo Gordejuela (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gerardo Rodriguez Sanchez El objetivo principal de la tesis es determinar que lagrangianas de orden superior son [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3183,42946,583,128,126,9386],"tags":[249508,51322,55367,7713,192015,7715],"class_list":["post-135306","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-calculo-de-variaciones","category-geometria","category-geometria-diferencial","category-matematicas","category-salamanca","tag-amores-lazaro-angel-m","tag-antonio-perez-rendon-collantes","tag-fernando-etayo-gordejuela","tag-garcia-perez-pedro-luis","tag-gerardo-rodriguez-sanchez","tag-pedro-Martinez-gadea"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/135306","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=135306"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/135306\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=135306"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=135306"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=135306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}