{"id":7590,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/teoremas-de-comparacion-para-el-primer-valor-propio-de-dirichlet-y-el-volumen-de-una-variedad-riemanniana\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"teoremas-de-comparacion-para-el-primer-valor-propio-de-dirichlet-y-el-volumen-de-una-variedad-riemanniana","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/teoremas-de-comparacion-para-el-primer-valor-propio-de-dirichlet-y-el-volumen-de-una-variedad-riemanniana\/","title":{"rendered":"Teoremas de comparacion para el primer valor propio de dirichlet y el volumen de una variedad riemanniana."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ana Lluch Peris <\/strong><\/h2>\n<p>En esta memoria se obtienen teoremas de comparacion de invariantes geometricos definidos en una variedad de riemann.Dada m una variedad de riemann conexa y compacta y p una hipersuperficie conexa y compacta de m damos un teorema de comparacion para el cociente vol(p)\/vol(m) acotando la curvatura de ricci de m por una funcion que depende de la distancia a la hipersuperficie p.Cuando m es una variedad con borde diferenciable acotamos el primer valor propio del problema de valores propios de dirichlet definido sobre m acotando la curvatura de ricci de m y las curvaturas normales de m.Por ultimo obtenemos teoremas de comparacion del volumen de una bola geodesica en una variedad de riemann con el volumen de una bola geodesica en un espacio producto de formas espaciales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teoremas de comparacion para el primer valor propio de dirichlet y el volumen de una variedad riemanniana.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teoremas de comparacion para el primer valor propio de dirichlet y el volumen de una variedad riemanniana. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ana Lluch Peris <\/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 01\/01\/1995<\/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>Vicente Miquel Molina<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Angel Montesinos Amilibia <\/li>\n<li>Alfonso Romero Sarabia (vocal)<\/li>\n<li> Fernandez Rodriguez Mar\u00eda  Luisa (vocal)<\/li>\n<li>Vicente Cervera Mateu (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ana Lluch Peris En esta memoria se obtienen teoremas de comparacion de invariantes geometricos definidos en una [&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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