{"id":36583,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/geometria-conforme-y-teoria-de-funciones\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"geometria-conforme-y-teoria-de-funciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/geometria-conforme-y-teoria-de-funciones\/","title":{"rendered":"Geometria conforme y teoria de funciones."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ana Granados Sanandres <\/strong><\/h2>\n<p>El an\u00e1lisis complejo est\u00e1 relacionado con la geometr\u00eda hiperb\u00f3lica y con la teor\u00eda del potencial. En la memoria explotamos ambas relaciones. En la primera parte estudiamos el problema de hayman y wu que consiste en estimar la longitud de curvas de nivel de aplicaciones conformes. La conexi\u00f3n entre variable compleja y geometr\u00eda hiperb\u00f3lica nos permite encontrar la cota \u00f3ptima para \u00e9ste en dominios convexos, y tambi\u00e9n entenderlo en contextos m\u00e1s generales.  en la segunda parte de la memoria usamos t\u00e9cnicas de teor\u00eda del potencial real para resolver el problema de gabriel, el cual establece comparaciones entre integrales con peso (geom\u00e9trico) sobre curvas encajadas. Con estas t\u00e9cnicas encontramos la expresi\u00f3n para la mejor constante de comparaci\u00f3n y probamos que cierta conjetura de gabriel no es cierta.  para finalizar la memoria consideramos de nuevo el problema de hayman y wu per en este contexto m\u00e1s general en el que admitimos pesos geom\u00e9tricos. Tambi\u00e9n usando t\u00e9cnicas del potencial mostramos que no siempre tiene soluci\u00f3n.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometria conforme y teoria de funciones.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometria conforme y teoria de funciones. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ana Granados Sanandres <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Jos\u00e9 Luis Fernandez  Perez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Steffen Rohde <\/li>\n<li>Artur Nicolau Nos (vocal)<\/li>\n<li> Melian Perez M. Victoria (vocal)<\/li>\n<li>Emilio Bujalance Garc\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ana Granados Sanandres El an\u00e1lisis complejo est\u00e1 relacionado con la geometr\u00eda hiperb\u00f3lica y con la teor\u00eda del [&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":[583,126],"tags":[96735,37500,7714,15064,15063,96736],"class_list":["post-36583","post","type-post","status-publish","format-standard","hentry","category-geometria","category-matematicas","tag-ana-granados-sanandres","tag-artur-nicolau-nos","tag-emilio-bujalance-garcia","tag-jose-luis-fernandez-perez","tag-melian-perez-m-victoria","tag-steffen-rohde"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/36583","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=36583"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/36583\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=36583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=36583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=36583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}