{"id":20842,"date":"2018-03-09T09:10:22","date_gmt":"2018-03-09T09:10:22","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/geometria-de-curvas-degeneradas\/"},"modified":"2018-03-09T09:10:22","modified_gmt":"2018-03-09T09:10:22","slug":"geometria-de-curvas-degeneradas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/murcia\/geometria-de-curvas-degeneradas\/","title":{"rendered":"Geometr\u00eda de curvas degeneradas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Angel Gim\u00e9nez Pastor <\/strong><\/h2>\n<p>El prop\u00f3sito general de la tesis es la realizaci\u00f3n de un estudio cuidadoso de la geometr\u00eda de las curvas degeneradas contenidas en una variedad semi-riemanniana, haciendo especial hincapi\u00e9 cuando el espacio ambiente es de curvatura constante y teniendo en cuenta en todo momento los posibles nexos que pueda haber con otros problemas conocidos en el campo de la geometr\u00eda diferencial. una primera parte de la memoria est\u00e1 destinada a obtener referencias de frenet adecuadas para curvas degeneradas, a las que denominaremos referencias de cartan, las cuales proporcionan invariantes geom\u00e9tricos (curvaturas de cartan) que determinan un\u00edvocamente la curva y que nos permiten estudiar su geometria. A continuaci\u00f3n se presentan ejemplos de curvas degeneradas, en particular, realizamos una clasificaci\u00f3n completa  de h\u00e9lices degeneradas en los espacios modelo lorentzianos de dimensi\u00f3n 4 y obtenemos resultados de caracterizaci\u00f3n para h\u00e9lices generalizadas nulas en el espacio de lorentz-minkowski. por \u00faltimo, se aborda el estudio de la existencia y clasificaci\u00f3n de curvas nulas que sean puntos cr\u00edticos de funcionales definidos sobre el espacio de curvas nulas en espacios modelo, y cuyo lagrangiano involucre una funci\u00f3n de las curvaturas de cartan, obteniendo importantes avances en espacios de lorentz-minkowski de dimensi\u00f3n 3 y 4.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometr\u00eda de curvas degeneradas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometr\u00eda de curvas degeneradas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Angel Gim\u00e9nez Pastor <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 18\/12\/2002<\/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>Pascual Lucas Saor\u00edn<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Hervella torron Luis Mar\u00eda <\/li>\n<li>angel Ferrandez izquierdo (vocal)<\/li>\n<li>Manuel Barros diaz (vocal)<\/li>\n<li>alfonso Romero sarabia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Angel Gim\u00e9nez Pastor El prop\u00f3sito general de la tesis es la realizaci\u00f3n de un estudio cuidadoso de [&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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