{"id":115208,"date":"2018-03-11T10:43:36","date_gmt":"2018-03-11T10:43:36","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estructuras-cuaternionicas-contacto-y-metricas-especiales\/"},"modified":"2018-03-11T10:43:36","modified_gmt":"2018-03-11T10:43:36","slug":"estructuras-cuaternionicas-contacto-y-metricas-especiales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-diferencial\/estructuras-cuaternionicas-contacto-y-metricas-especiales\/","title":{"rendered":"Estructuras cuaterni\u00f3nicas contacto y m\u00e9tricas especiales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Antonio Santisteban Elorriaga <\/strong><\/h2>\n<p>En esta tesis se aborda el estudio y la determinaci\u00f3n de estructuras cuaterni\u00f3nicas contacto y la construcci\u00f3n de m\u00e9tricas especiales; en particular, de m\u00e9tricas cuaterni\u00f3nicas k\u00ed\u00a4hler y, por tanto einstein, en dimensi\u00f3n mayor o igual que ocho, y de m\u00e9tricas con holonom\u00eda spin(7). Ambos tipos de variedades son de especial inter\u00e9s puesto que los grupos de lie sp(n)sp(1) y spin(7) figuran en la clasificaci\u00f3n de berger de los posibles grupos de holonom\u00eda de una variedad de riemann irreducible.          Estrechamente relacionada con la geometr\u00eda cuaterni\u00f3nica k\u00ed\u00a4hler se encuentra la geometr\u00eda cuaternionica contacto introducida por biquard. En la memoria se obtienen nuevos ejemplos de variedades cuaterni\u00f3nica contacto y se responde afirmativamente a la cuesti\u00f3n de si existen variedades cuaterni\u00f3nicas contacto de dimensi\u00f3n siete con 4-forma fundamental cerrada y con endomorfismo torsi\u00f3n no nulo.        Por otra parte, considerando una evoluci\u00f3n adecuada de ciertas estructuras cuaterni\u00f3nicas contacto, se muestra que el producto de una variedad cuaterni\u00f3nica contacto por un intervalo abierto tiene una m\u00e9trica cuaterni\u00f3nica k\u00ed\u00a4hler o, dependiendo de la evoluci\u00f3n, una m\u00e9trica con holonom\u00eda spin(7). Tambi\u00e9n se construyen m\u00e9tricas hipersimpl\u00e9cticas e hiperk\u00ed\u00a4hler en dimensi\u00f3n 4, estas \u00faltimas conocidas como instantotes gravitacionales, con un papel destacado en f\u00edsica. Adem\u00e1s, utilizando ciertos grupos de cohomolog\u00eda, se introducen obstrucciones a la existencia de una su(2)-estructura hypo sobre un grupo de lie, que nos permiten clasificar los grupos de lie que admiten una tal estructura.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estructuras cuaterni\u00f3nicas contacto y m\u00e9tricas especiales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estructuras cuaterni\u00f3nicas contacto y m\u00e9tricas especiales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Antonio Santisteban Elorriaga <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 31\/01\/2014<\/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>Mar\u00eda  Luisa Fernandez Rodriguez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: oscar Jes\u00fas Garay bengoechea <\/li>\n<li>anna Mar\u00eda Fino &#8212; (vocal)<\/li>\n<li>Fernando Otayo gordejuela (vocal)<\/li>\n<li>stefan Ivanov (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Antonio Santisteban Elorriaga En esta tesis se aborda el estudio y la determinaci\u00f3n de estructuras cuaterni\u00f3nicas [&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":[128,12909],"tags":[228032,150253,228029,228030,228031,228033],"class_list":["post-115208","post","type-post","status-publish","format-standard","hentry","category-geometria-diferencial","category-pais-vasco-euskal-herriko-unibertsitatea","tag-anna-maria-fino","tag-fernando-otayo-gordejuela","tag-jose-antonio-santisteban-elorriaga","tag-maria-luisa-fernandez-rodriguez","tag-oscar-jesus-garay-bengoechea","tag-stefan-ivanov"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/115208","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=115208"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/115208\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=115208"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=115208"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=115208"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}