{"id":90122,"date":"2001-11-05T00:00:00","date_gmt":"2001-11-05T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/discos-extremales-en-superficies-hiperbolicas-compactas\/"},"modified":"2001-11-05T00:00:00","modified_gmt":"2001-11-05T00:00:00","slug":"discos-extremales-en-superficies-hiperbolicas-compactas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/discos-extremales-en-superficies-hiperbolicas-compactas\/","title":{"rendered":"Discos extremales en superficies hiperbolicas compactas."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ernesto Girondo Sirvent <\/strong><\/h2>\n<p>Se estudian aquellas superficies compactas de g\u00e9nero g&gt;1 que contienen un disco extremal, que son aquellos discos del mayor radio posible que se pueden encontrar inmersos en una superficie de dicho genero. Se resuelven problemas como:  &#8211; caracterizaci\u00f3n geom\u00e9trica y topologica de la condicion de extremalidad, as\u00ed como en t\u00e9rminos de grupos fuchisianos. Como consecuencia, resultados de existencia y construcci\u00f3n explicita de familias de superfices extremales.  &#8211; obtenci\u00f3n de un resultado de unicidad para superficies de genero mayor que 3. Tales superficies extremales contienen solo un disco extremal. Como consecuencia, construccion explicita de familias de superficies sin automorfismos.  -clasificacion completa de las superficies extremales de genero 2. Determinacion de todos sus discos extremales, as\u00ed como de sus grupos de automorfismos y puntos de weierstrass. Obtenci\u00f3n de una ecuaci\u00f3n algebraica para la \u00fanica superficie extremal de g\u00e9nero 2 que contiene un \u00fanico disco extremal.  -estudio de superficies de genero 3. Obtenci\u00f3n de ejemplos de superficies con disco \u00fanico, asi como de superficies con varios discos extremales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Discos extremales en superficies hiperbolicas compactas.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Discos extremales en superficies hiperbolicas compactas. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ernesto Girondo Sirvent <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/05\/2001<\/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>Gabino Gonzalez Diez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: christophe Bavard <\/li>\n<li>milagros Izquierdo barrios (vocal)<\/li>\n<li>william Harvey (vocal)<\/li>\n<li>Antonio  f\u00e9lix Costa gonz\u00e1lez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ernesto Girondo Sirvent Se estudian aquellas superficies compactas de g\u00e9nero g&gt;1 que contienen un disco extremal, que 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