{"id":86592,"date":"2018-03-10T00:11:12","date_gmt":"2018-03-10T00:11:12","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/superficies-de-curvatura-constante\/"},"modified":"2018-03-10T00:11:12","modified_gmt":"2018-03-10T00:11:12","slug":"superficies-de-curvatura-constante","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/superficies-de-curvatura-constante\/","title":{"rendered":"Superficies de curvatura constante"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Antonio Galvez Lopez <\/strong><\/h2>\n<p>En la tesis doctoral se aborda el estudio de superficies concurvatura de gauss constante en los distintos espacios modelo de la geometr\u00eda.  en el primer cap\u00edtulo se obtienen diversas ecuaciones el\u00edpticas que permiten dar estimaciones de la altura, curvatura, curvatura total y volumen encerrado de superficies compactas de curvatura constante acotando una curva plana. Algunas de ellas son v\u00e1lidad para hipersuperficies con curvatura de gauss-kronecker constante y otras se generalizan al casod e la geometr\u00eda hiperb\u00f3lica.  en el segundo cap\u00edtulo se estudia el problema de existencial y unicidad de una inmersi\u00f3n suponiendo prefijadas la estructura conforme inducida por la segunda forma fundamental y la aplicaci\u00f3nde gauss. Concretamente, se desarrolla una teor\u00eda paralela a la desarrollada por k. Kenmotsu en caso de curvatura media constante. En este sentido, se resuelve el problema palnteado y se obtiene una representaci\u00f3n de las usperficies no degeneradas en t\u00e9rminos de la aplicaci\u00f3nde gauss y de la estructura conforme que induce la segunda forma fundamental.  en los cap\u00edtulos 3 y 4 de la memoria se hace un estudio exhaustivo de las superficies llanas (curvatura cero) en el espacio hiperb\u00f3lico. Se consigue representar tales superficies mediante f\u00f3rmulas en las que intervienen solamente datos holomorfos respecto de la estructura conforme que induce la segunda forma fundamental y se usa dicha representaci\u00f3n para la construcci\u00f3n de ejemplos y el estudio de los finales para este tipo de superficies.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Superficies de curvatura constante<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Superficies de curvatura constante <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Antonio Galvez Lopez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/09\/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>Antonio Mart\u00ednez L\u00f3pez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Ros mulero <\/li>\n<li>Luis Jos\u00e9 Alias linares (vocal)<\/li>\n<li>laurent Hauwirth (vocal)<\/li>\n<li>ildefonso Castro lopez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Antonio Galvez Lopez En la tesis doctoral se aborda el estudio de superficies concurvatura de gauss [&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 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