{"id":12852,"date":"2018-03-09T08:58:53","date_gmt":"2018-03-09T08:58:53","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/transformaciones-proyectivas-en-el-plano-ciclico\/"},"modified":"2018-03-09T08:58:53","modified_gmt":"2018-03-09T08:58:53","slug":"transformaciones-proyectivas-en-el-plano-ciclico","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/transformaciones-proyectivas-en-el-plano-ciclico\/","title":{"rendered":"Transformaciones proyectivas en el plano ciclico"},"content":{"rendered":"<h2>Tesis doctoral de <strong> M. Humildad Camacho Sanchez <\/strong><\/h2>\n<p>El objetivo de este trabajo es el de traducir en un espacio no convencional, el cuerpo doctrinal de la geometria proyectiva clasica.  el espacio elegido, por su visualizacion grafica, ha sido el conjunto de las circunferencias del plano, que denominamos plano ciclico &#8212;.  comenzamos definiendo los elementos de dicho espacio, asi como una proyectividad entre el plano ciclico y el espacio ordinario, a la que hemos denominado proyectividad can\u00f3nica. Esta proyectividad da lugar al paraboloide discriminante, superficie que separa puntos transformados de elementos, procedentes del plano geometrico ordinario, que son de distinta naturaleza.  continuamos definiendo coordenadas naturales y pluckerianas de elementos de &#8211;, para introducir las cuadricas en &#8212; de la misma forma que la geometria proyectiva clasica.  finalizamos estudiando las homografias biaxiales y axiales en &#8212;, dando condiciones para que dejen invariante el paraboloide discriminante.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Transformaciones proyectivas en el plano ciclico<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Transformaciones proyectivas en el plano ciclico <\/li>\n<li><strong>Autor:<\/strong>\u00a0 M. Humildad Camacho Sanchez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 C\u00f3rdoba<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 21\/09\/2001<\/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>Manuel Prieto Alberca<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  Carlos D\u00edaz  alcaide <\/li>\n<li>Manuel Abejon adamez (vocal)<\/li>\n<li>Antonio Pascual acosta (vocal)<\/li>\n<li> Garcia gomez Rafael Manuel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de M. Humildad Camacho Sanchez El objetivo de este trabajo es el de traducir en un espacio no [&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":[973,583,7711,126],"tags":[4227,41906,35293,41903,41905,41904],"class_list":["post-12852","post","type-post","status-publish","format-standard","hentry","category-cordoba","category-geometria","category-geometria-proyectiva","category-matematicas","tag-antonio-pascual-acosta","tag-garcia-gomez-rafael-manuel","tag-juan-carlos-diaz-alcaide","tag-m-humildad-camacho-sanchez","tag-manuel-abejon-adamez","tag-manuel-prieto-alberca"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12852","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=12852"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12852\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=12852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=12852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=12852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}