{"id":29946,"date":"2004-04-05T00:00:00","date_gmt":"2004-04-05T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/a%c2%a4lgebras-de-lie-graduadas-y-estructuras-de-segundo-orden-asociadas\/"},"modified":"2004-04-05T00:00:00","modified_gmt":"2004-04-05T00:00:00","slug":"a%c2%a4lgebras-de-lie-graduadas-y-estructuras-de-segundo-orden-asociadas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/santiago-de-compostela\/a%c2%a4lgebras-de-lie-graduadas-y-estructuras-de-segundo-orden-asociadas\/","title":{"rendered":"\u00c1\u00a4lgebras de lie graduadas y estructuras de segundo orden asociadas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alberto Mart\u00edn M\u00e9ndez <\/strong><\/h2>\n<p>El trabajo realizado en la presente memoria se engloba dentro de la teor\u00eda general de g-estructuras y del estudio de los fibrados de referencias no holon\u00f3micas y semi-holon\u00f3micas de segundo orden sobre una variedad ;.  sea l\/l0 un espacio homog\u00e9neo semisimple llano asociado a un \u00e1lgebra de lie semisimple graduada, y sea g0 el grupo lineal de isotrop\u00eda l\/l0.  las principales aportaciones de la tesis son:  se caracterizan las referencias no holon\u00f3micas de segundo orden como referencia del fibrado de referencias definidas por bases de espacios horizontales, obteni\u00e9ndose una subvariedad regular del fibrado del fibrado de referencias de m isomorfa al fibrado de referencias no holon\u00f3micas de segundo orden de m.  identificamos los fibrados de referencias semi-holon\u00f3micas y no holon\u00f3micas de segundo orden con subfibrados abiertos de los fibrados tangentes de grassmann y stiefel del fibrado de referencias de m.  se demuestra que los fibrados de referencias no holon\u00f3micas y semi-holon\u00f3micas se pueden obtener extendiendo el grupo de estructura del fibrado de referencias holon\u00f3micas de segundo orden a sus correspondientes grupos de estructura.  se da la definici\u00f3n de conexiones lineales equivalentes no necesariamente adaptadas y se introducen algunas propiedades de la equiValencia de conexiones y del tensor de tanaka.  se demuestra que cada clase de conexiones lineales adaptadas a una g0-estructura p determina una \u00fanica l0-estructura semi-holon\u00f3mica de segundo orden q que se proyecta sobre p, obteni\u00e9ndose un l0-fibrado asociado y generalizando as\u00ed una teor\u00eda de ochiai para conexiones adaptadas a p sin torsi\u00f3n. La teor\u00eda aqu\u00ed expuesta es plenamente equivalente a la de tanaka, pues se demuestra que dos l0-fibrados asociados a la estructura p son isomorfos.  se desarrolla una teor\u00eda general de estructuras de cartan de tipo graduado integrables y llanas sobre variedades homog\u00e9neas, que incluye como caso particular la teor<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00c1\u00a4lgebras de lie graduadas y estructuras de segundo orden asociadas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00c1\u00a4lgebras de lie graduadas y estructuras de segundo orden asociadas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alberto Mart\u00edn M\u00e9ndez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 04\/05\/2004<\/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> Torres Lopera Juan  Francisco<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: th\u00e9odor Hangan <\/li>\n<li>Manuel De le\u00f3n rodr\u00edguez (vocal)<\/li>\n<li>vicente Cort\u00e9s suarez (vocal)<\/li>\n<li> Oubi\u00f1a gali\u00f1anes Jos\u00e9 Antonio (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alberto Mart\u00edn M\u00e9ndez El trabajo realizado en la presente memoria se engloba dentro de la teor\u00eda general [&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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