{"id":17736,"date":"2018-03-09T09:05:56","date_gmt":"2018-03-09T09:05:56","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/invariantes-diferenciales-de-las-estructuras-casi-biparacomplejas-y-el-problema-de-equivalencia\/"},"modified":"2018-03-09T09:05:56","modified_gmt":"2018-03-09T09:05:56","slug":"invariantes-diferenciales-de-las-estructuras-casi-biparacomplejas-y-el-problema-de-equivalencia","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/invariantes-diferenciales-de-las-estructuras-casi-biparacomplejas-y-el-problema-de-equivalencia\/","title":{"rendered":"Invariantes diferenciales de las estructuras casi-biparacomplejas y el problema de equiValencia"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rafael Santamar\u00eda S\u00e1nchez <\/strong><\/h2>\n<p>Las principales aportaciones cient\u00edficas de esta tesis doctoral en geometr\u00eda diferencial son el estudio y el c\u00e1lculo del n\u00famero de invariantes diferenciales de cualquier orden de las estructuras casi-biparacomplejas en variedades diferenciables.  la tesis doctoral est\u00e1 estructurada en cinco cap\u00edtulos.  el primer cap\u00edtulo est\u00e1 dedicado al estudio de las variedades diferenciables dotadas de una estructura casi-biparacompleja, las estructuras casi-complejas, casi-producto y casi-tangentes inducidas, y la g-estructura que determinan sobre la variedad.  en el segundo cap\u00edtulo se construye la conexi\u00f3n can\u00f3nica de una estructura casi-biparacompleja, probando su car\u00e1cter funtorial, la cual es utilizada para caracterizar la integrabilidad de tal estructura.  en el tercer cap\u00edtulo se resuelve el problema de equiValencia de estas estructuras por difeomorfismos, probando que dos de tales estructuras son equivalentes si y s\u00f3lo si las conexiones lineales que inducen las conexiones can\u00f3nicas son equivalentes, y adem\u00e1s se demuestra que el grupo de los automorfismos de una estructura casi-biparacompleja sobre una variedad de dimesi\u00f3n 2n es un grupo de lie de dimensi\u00f3n acotada por n(2 + n) y si tal cota se alcanza, entonces la estructura es integrable.  por \u00faltimo, en los cap\u00edtulos cuarto y quinto se determina el n\u00famero de invariantes diferenciales funcionalmente independientes de las estructuras casi-biparacomplejas y se utiliza la conexi\u00f3n can\u00f3nica de tales estructuras para calcular los invariantes diferenciales de orden y y 2, obteniendo que los invariantes de torsi\u00f3n generan todos los invariantes diferenciales de orden 1 en dimensi\u00f3n par mayor o igual que 4 y los invariantes de curvatura generan todos los invariantes diferenciales de orden 2 en dimensi\u00f3n 4.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Invariantes diferenciales de las estructuras casi-biparacomplejas y el problema de equiValencia<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Invariantes diferenciales de las estructuras casi-biparacomplejas y el problema de equiValencia <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rafael Santamar\u00eda S\u00e1nchez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Cantabria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/06\/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>Fernando Etayo Gordejuela<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Garc\u00eda p\u00e9rez pedro Luis <\/li>\n<li>olga Gil medrano (vocal)<\/li>\n<li>Francisco Santos leal (vocal)<\/li>\n<li>encarnaci\u00f3n Reyes iglesias (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rafael Santamar\u00eda S\u00e1nchez Las principales aportaciones cient\u00edficas de esta tesis doctoral en geometr\u00eda diferencial son el estudio [&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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