{"id":145169,"date":"1993-01-01T00:00:00","date_gmt":"1993-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-historico-de-las-primeras-investigaciones-geometrico-analiticas-de-sophus-lie\/"},"modified":"1993-01-01T00:00:00","modified_gmt":"1993-01-01T00:00:00","slug":"estudio-historico-de-las-primeras-investigaciones-geometrico-analiticas-de-sophus-lie","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/historia\/estudio-historico-de-las-primeras-investigaciones-geometrico-analiticas-de-sophus-lie\/","title":{"rendered":"Estudio historico de las primeras investigaciones geometrico-analiticas de sophus lie"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rosa Alvarez Ulloa <\/strong><\/h2>\n<p>El presente trabajo estudia en su genesis y desarrollo las investigaciones geometrico- analiticas que el matematico noruego sophus lie (1842-1899) llevo a cabo en 1869\/70: una representacion de los imaginarios del plano, el estudio geometrico del complejo tetraedral, las curvas y superficies w. La transformacion recta-esfera y la transformacion de lineas de curvatura en curvas asintoticas. Vemos como la representacion de los imaginarios le aporta una serie de transformaciones espaciales involutivas, con y sin cambio de elemento espacial, cuyo desarrollo y aplicacion a los problemas considerados en sus siguientes investigaciones conducen a la definicion geometrica de las transformaciones de contacto. Se analiza asimismo la influencia en estas primeras investigaciones de lie de su estancia en berlin y paris, en particular de las investigaciones sobre sistemas de rayos de eduard kummer, de la geometria proyectiva diferencial francesa y de la geometria analagmatica practicada en el paris de los a\u00f1os sesenta.  este analisis se completa con un estudio de los antecedentes culturales de lie, su educacion en el nissenskole, su formacion matematica en la universidad de christiania y su formacion autodidacta hasta el comienzo de su actividad matematica.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio historico de las primeras investigaciones geometrico-analiticas de sophus lie<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio historico de las primeras investigaciones geometrico-analiticas de sophus lie <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rosa Alvarez Ulloa <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1993<\/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>Jos\u00e9 Manuel S\u00e1nchez Ron<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Sanchez Gomez Jos\u00e9 Luis <\/li>\n<li>Antonio Moreno Gonzalez (vocal)<\/li>\n<li>Santiago Garma Pons (vocal)<\/li>\n<li>Javier Ordo\u00f1ez Rodriguez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rosa Alvarez Ulloa El presente trabajo estudia en su genesis y desarrollo las investigaciones geometrico- analiticas que 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