{"id":155034,"date":"2026-01-12T17:16:32","date_gmt":"2026-01-12T17:16:32","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/superficies-afines-con-curvatura-media-afin-constante\/"},"modified":"2026-01-12T17:16:32","modified_gmt":"2026-01-12T17:16:32","slug":"superficies-afines-con-curvatura-media-afin-constante","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/superficies-afines-con-curvatura-media-afin-constante\/","title":{"rendered":"Superficies afines con curvatura media afin constante."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Milan Lopez <\/strong><\/h2>\n<p>En esta memoria se investigan algunos problemas conocidos, en su planteamiento, para superficies afines con curvatura media afin constante inmersas en el espacio afin real 3-dimensional a3. Concretamente, se obtienen resultados sobre la segunda variacion del area afin de una superficie afin maximal reglada, incluyendo una interpretacion geometrica; se clasifican localmente las superficies afines con curvatura media afin h y curvatura afin de gauss k constantes, salvo el caso k=1\/3h no cero y se avanza en la clasificacion global de las superficies afines convexas y completas con h constante, destacando una solucion parcial al problema afin de bernstein (h=0).  concretamente, se obtiene que el paraboloide eliptico es la unica superficie afin maximal, completa y convexa de a3 que satisface una cierta condicion de crecimiento de la curvatura afin de gauss-kronecker.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Superficies afines con curvatura media afin constante.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Superficies afines con curvatura media afin constante. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Milan Lopez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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>Antonio Mart\u00ednez L\u00f3pez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Gomez Ruiz <\/li>\n<li>Antonio Ros Mulero (vocal)<\/li>\n<li>Udo Simon (vocal)<\/li>\n<li> Ancochea Bermudez Jos\u00e9 M. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Milan Lopez En esta memoria se investigan algunos problemas conocidos, en su planteamiento, para superficies afines [&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":[583,39247,128,126],"tags":[21066,8400,4301,93559,269094,269095],"class_list":["post-155034","post","type-post","status-publish","format-standard","hentry","category-geometria","category-geometria-afin","category-geometria-diferencial","category-matematicas","tag-ancochea-bermudez-jose-m","tag-antonio-Martinez-lopez","tag-antonio-ros-mulero","tag-francisco-gomez-ruiz","tag-francisco-milan-lopez","tag-udo-simon"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/155034","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=155034"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/155034\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=155034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=155034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=155034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}