{"id":1929,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/caracterizacion-y-clasificacion-de-hipersuperficies-en-los-espacios-pseudo-riemannianos-de-curvatura-constante\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"caracterizacion-y-clasificacion-de-hipersuperficies-en-los-espacios-pseudo-riemannianos-de-curvatura-constante","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/caracterizacion-y-clasificacion-de-hipersuperficies-en-los-espacios-pseudo-riemannianos-de-curvatura-constante\/","title":{"rendered":"Caracterizacion y clasificacion de hipersuperficies en los espacios pseudo-riemannianos de curvatura constante"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Luis Jose Alias Linares <\/strong><\/h2>\n<p>En esta memoria se abordan dos cuestiones referentes a la caracterizacion y clasificacion de hipersuperficies en los espacios pseudoriemannianos de curvatura constante que generalizan o extienden importantes problemas planteados y resueltos por takahashi, chen, garay, hasanis, vlachos, ferrandez, lucas, etc. Para esta clasificacion y caracterizacion se utilizan algunas ecuaciones diferenciales formuladas en terminos del operador laplaciano asociado a la metrica de la hipersuperficie. Se considera por un lado la ecuacion ax=ax+b, donde x representa la inmersion de la hipersuperficie, a es un endomorfismo en cada uno de los espacios pseudoriemannianos de curvatura constante, y b es un vector fijo. Por otro lado se considera la ecuacion , donde h es la curvatura media. Tras estudiar estas condiciones se prueban diversos teoremas de caracterizacion y de clasificacion de hipersuperficies, obteniendose una interpretacion geometrica interesante de las ecuaciones que estudia, y se ponen de manifiesto las peculiaridades que tiene este problema de clasificacion en el caso pseudoriemanniano, frente al caso riemanniano.  se suministran asi mismo numerosos ejemplos ilustrativos de hipersuperficies que verifican las diferentes condiciones que se van introduciendo.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Caracterizacion y clasificacion de hipersuperficies en los espacios pseudo-riemannianos de curvatura constante<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Caracterizacion y clasificacion de hipersuperficies en los espacios pseudo-riemannianos de curvatura constante <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Luis Jose Alias Linares <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1994<\/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>Angel Ferrandez Izquierdo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Fernandez Rodriguez M. Luisa <\/li>\n<li>Alfonso Romero Sarabia (vocal)<\/li>\n<li>Manuel De Le\u00f3n Rodr\u00edguez (vocal)<\/li>\n<li>Oscar Garay Bengoetxea (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Luis Jose Alias Linares En esta memoria se abordan dos cuestiones referentes a la caracterizacion y clasificacion [&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":[2809,8247,126,8235,8246],"tags":[4300,4302,8249,8248,3233,8250],"class_list":["post-1929","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-diferencial","category-matematicas","category-murcia","category-teoria-de-matrices","tag-alfonso-romero-sarabia","tag-angel-ferrandez-izquierdo","tag-fernandez-rodriguez-m-luisa","tag-luis-jose-alias-linares","tag-manuel-de-leon-rodriguez","tag-oscar-garay-bengoetxea"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/1929","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=1929"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/1929\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=1929"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=1929"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=1929"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}