{"id":65230,"date":"2018-03-09T22:53:17","date_gmt":"2018-03-09T22:53:17","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/relative-asymptolic-lines-and-relative-mean-curvature-lines-on-surfaces-in-rn\/"},"modified":"2018-03-09T22:53:17","modified_gmt":"2018-03-09T22:53:17","slug":"relative-asymptolic-lines-and-relative-mean-curvature-lines-on-surfaces-in-rn","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-diferencial\/relative-asymptolic-lines-and-relative-mean-curvature-lines-on-surfaces-in-rn\/","title":{"rendered":"Relative asymptolic lines and relative mean curvature lines on surfaces in rn"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rosivaldo Antonio Gon\u00c1\u00a7alves <\/strong><\/h2>\n<p>Se definen las direcciones de curvatura media relativa y las direcciones asint\u00f3ticas relativas de una superficie inmersa en rn. Esas nociones generalizan las definiciones correspondientes para superficies en r3 y r4. Se estudia la presencia gen\u00e9rica de sus puntos singulares, a saber los puntos semiumb\u00edlicos y los puntos pseudo-umb\u00edlicos. Se establecen las ecuaciones diferenciales de las l\u00edneas correspondientes, y se estudia el comportamiento de la forma bilineal que las define, demostr\u00e1ndose que en los puntos semiumb\u00edlicos esas formas bilineales son degeneradas. Se demuestra que las singularidades de las l\u00edneas de curvatura media relativa en los puntos pseudo-umb\u00edlicos son gen\u00e9ricamente de tipo darbouxiano. En cuanto a las singularidades en los puntos semiumb\u00edlicos, se halla en primer t\u00e9rmino la forma normal de las ecuaciones, y a partir de ella y del empleo de la t\u00e9cnica de la superficie levantada se encuentra el retrato de fases de la configuraci\u00f3n alrededor de los puntos semiumb\u00edlicos aislados gen\u00e9ricos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Relative asymptolic lines and relative mean curvature lines on surfaces in rn<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Relative asymptolic lines and relative mean curvature lines on surfaces in rn <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rosivaldo Antonio Gon\u00c1\u00a7alves <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Universitat de val\u00e9ncia (estudi general)<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 13\/06\/2008<\/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 Mar\u00eda Montesinos Amilibia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  jose Nu\u00f1o ballesteros <\/li>\n<li>esther Sanabria codesal (vocal)<\/li>\n<li>simone Mar\u00eda De moraes (vocal)<\/li>\n<li>federico Sanchez bringas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rosivaldo Antonio Gon\u00c1\u00a7alves Se definen las direcciones de curvatura media relativa y las direcciones asint\u00f3ticas relativas 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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