{"id":15091,"date":"2002-12-01T00:00:00","date_gmt":"2002-12-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/energia-y-volumen-de-campos-de-vectores-puntos-criticos-y-estabilidad\/"},"modified":"2002-12-01T00:00:00","modified_gmt":"2002-12-01T00:00:00","slug":"energia-y-volumen-de-campos-de-vectores-puntos-criticos-y-estabilidad","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/energia-y-volumen-de-campos-de-vectores-puntos-criticos-y-estabilidad\/","title":{"rendered":"Energia y volumen de campos de vectores. puntos criticos y estabilidad"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Elisa Llinares Fuster <\/strong><\/h2>\n<p>El procedimiento de definir propiedades geometricas a partir de las caracterizaciones de puntos criticos de funcionales es bastante usual. alguna de estas propiedades ha sido tan ampliamente estudiada, que tiene entidad propia dentro de la geometra riemanniana. Este es el caso de los funcionales energia de aplicaciones y volumen de inmersiones. El objetivo de este trabajo es el estudio variacional de la energia y el volumen para camps de vectores unitarios.  los principales resultados que se obtienen, pueden dividirse en dos grandes grupos. Por un lado, resultados relativos a la primera variacion del volumen:calculo de la diferencial del funcional volumen, caracterizacion de puntos criticos y estudio de algunos casos particulares y ejemplos. por otro lado, se exponen tambien resultados acerca de la variacion segunda tanto del volumen como de toda una familia de funcionales entre los que se encuentra, como caso particular, la energia. Calculo de los hessianos y estudio de la estabilidad de los campos de hopf en esferas de dimension impar.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Energia y volumen de campos de vectores. puntos criticos y estabilidad<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Energia y volumen de campos de vectores. puntos criticos y estabilidad <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Elisa Llinares Fuster <\/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 12\/01\/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>Olga Gil Medrano<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Martinez naveira <\/li>\n<li>Jos\u00e9 carmelo Gonzalez davila (vocal)<\/li>\n<li>Manuel Barros diaz (vocal)<\/li>\n<li>Elena Vazquez abal (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Elisa Llinares Fuster El procedimiento de definir propiedades geometricas a partir de las caracterizaciones de puntos criticos [&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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