{"id":130821,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/nilvariedades-compactas-complejas-cohomologia-canonica-de-una-g2-variedad\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"nilvariedades-compactas-complejas-cohomologia-canonica-de-una-g2-variedad","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/nilvariedades-compactas-complejas-cohomologia-canonica-de-una-g2-variedad\/","title":{"rendered":"Nilvariedades compactas complejas. cohomolog\u00eda canonica de una g2-variedad."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Luis Ugarte Vilumbrales <\/strong><\/h2>\n<p>En la priemra parte, se extiende el resultado de nomizu, que establece que el k-esimo grupo de cohomolog\u00eda de de rham da una nilvariedad compacta    \/g es isomorfo al k-esimo grupo de cohomolog\u00eda de chevalley-eilenberg del algebra de lie g de g, a la cohomolog\u00eda de dolbeault y a los terminos de la sucesion espectral de frolicher de una nilvariedad compacta compleja. A partir de estos resultados se construyen los primeros ejemplos conocidos de variedades compactas complejas de dimension compleja 3 (la mas baja posible) para las cuales la sucesion espectral de frolicher no degenera en el segundo termino.  en la segunda parte se hace un estudio de una clase distinguida de g2-variedades a traves de su cohomolog\u00eda canonica (introducida por salamon). Se obtienen para las g2-variedades compactas cuyo grupo de holonomia es un subgrupo de g2(variedades g2 analogas a las de kahler) un resultado similar al teorema de hodge para las variedades kahler compactas. Se construye, para la referida clase distinguida de g2-variedades, una sucesion g2 analoga a la sucesion espectral de frolicher de las variedades complejas y se prueba que su estacionamiento es similar al del caso complejo para las clases de g2-variedades correspondientes.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Nilvariedades compactas complejas. cohomolog\u00eda canonica de una g2-variedad.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Nilvariedades compactas complejas. cohomolog\u00eda canonica de una g2-variedad. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Luis Ugarte Vilumbrales <\/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 01\/01\/1996<\/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> Fernandez Rodriguez M. Luisa<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Cordero Rego Luis A. <\/li>\n<li>S.m. Salamon (vocal)<\/li>\n<li>Alfred Gray (vocal)<\/li>\n<li>Oscar Garay Bengoetxea (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Luis Ugarte Vilumbrales En la priemra parte, se extiende el resultado de nomizu, que establece que el [&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":[583,127,128,126,12909],"tags":[110524,37758,8249,201228,8250,244457],"class_list":["post-130821","post","type-post","status-publish","format-standard","hentry","category-geometria","category-geometria-de-riemann","category-geometria-diferencial","category-matematicas","category-pais-vasco-euskal-herriko-unibertsitatea","tag-alfred-gray","tag-cordero-rego-luis-a","tag-fernandez-rodriguez-m-luisa","tag-luis-ugarte-vilumbrales","tag-oscar-garay-bengoetxea","tag-s-m-salamon"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/130821","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=130821"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/130821\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=130821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=130821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=130821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}