{"id":82596,"date":"2000-01-01T00:00:00","date_gmt":"2000-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/hipersuperficies-espaciales-completas-en-el-espacio-de-de-sitter\/"},"modified":"2000-01-01T00:00:00","modified_gmt":"2000-01-01T00:00:00","slug":"hipersuperficies-espaciales-completas-en-el-espacio-de-de-sitter","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/hipersuperficies-espaciales-completas-en-el-espacio-de-de-sitter\/","title":{"rendered":"Hipersuperficies espaciales completas en el espacio de de sitter."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan  Angel Aledo Sanchez <\/strong><\/h2>\n<p>Esta memoria de investigaci\u00f3n est\u00e1 dedicada fundamentalmente al estudio de las hipersuperficies espaciales del espacio de de sitter, aunque en el cap\u00edtulo final se cambie de espacio ambiente para considerar hipersuperficies espaciales en el espacio de lorentz-minkowski. Una parte importante del trabajo est\u00e1 encaminada a encontrar caracterizaciones de las esferas totalmente umbilicales del espacio de de sitter, que en algunos casos llevar\u00e1n a nuevas hip\u00f3tesis bajo las que la conjetura de goddard es cierta. Se consideran especialmente condiciones relativas a las distintas curvaturas de la hipersuperficie, esto es, las curvaturas medias de orden superior, la curvatura escalar y la curvatura de ricci, as\u00ed como otras relacionadas con su imagen hiperb\u00f3lica. La hip\u00f3tesis de compacidad es tambi\u00e9n, sin duda, una de las m\u00e1s relevantes a lo largo de esta memoria. En este sentido, se demuestra que las hipersuperficies espaciales compactas del espacio de de sitter son las \u00fanicas hipersuperficies espaciales completas cuya aplicaci\u00f3n de gauss est\u00e1 acotada, as\u00ed como las \u00fanicas hipersuperficies espaciales completas temporalmente acotadas. adem\u00e1s, se establece una interesante acotaci\u00f3n del vol\u00famen de una hipersuperficie espacial compacta en t\u00e9rminos del radiode la bola deof\u00e9sica que contiene su imagen hiperb\u00f3lica, obteniendo adecuadas caracterizaciones para los valores l\u00edmites. Por otra parte, se desarrollan una familia de f\u00f3rmulas integrales para hipersuperficies espaciales compactas del espacio de de sitter, que se denominan f\u00f3rmulas de minkowski. Estas f\u00f3rmulas permiten obtener interesantes caracterizaciones de las esferas totalmente umbilicales del espacio de de sitter, bajo hip\u00f3tesis relativas a sus curvaturas medias de orden superior. tambi\u00e9n se estudian acotaciones apropiadas de las curvaturas medias de orden superior, la curvatura escalar y la curvatura de ricci de hipersuperficies espaciales compactas del espac<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Hipersuperficies espaciales completas en el espacio de de sitter.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Hipersuperficies espaciales completas en el espacio de de sitter. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan  Angel Aledo Sanchez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/2000<\/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>Luis Jose Alias Linares<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Fernandez rodriguez Mar\u00eda  Luisa <\/li>\n<li>olga Gil medrano (vocal)<\/li>\n<li>angel Ferrandez izquierdo (vocal)<\/li>\n<li>alfonso Romero sarabia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Angel Aledo Sanchez Esta memoria de investigaci\u00f3n est\u00e1 dedicada fundamentalmente al estudio de las hipersuperficies espaciales [&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":[583,128,126,8235],"tags":[4300,4302,27208,139256,8248,3231],"class_list":["post-82596","post","type-post","status-publish","format-standard","hentry","category-geometria","category-geometria-diferencial","category-matematicas","category-murcia","tag-alfonso-romero-sarabia","tag-angel-ferrandez-izquierdo","tag-fernandez-rodriguez-maria-luisa","tag-juan-angel-aledo-sanchez","tag-luis-jose-alias-linares","tag-olga-gil-medrano"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/82596","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=82596"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/82596\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=82596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=82596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=82596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}