{"id":74621,"date":"2018-03-09T23:19:40","date_gmt":"2018-03-09T23:19:40","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/isovariedades-isodiferenciables-y-grupos-de-lie-santilli\/"},"modified":"2018-03-09T23:19:40","modified_gmt":"2018-03-09T23:19:40","slug":"isovariedades-isodiferenciables-y-grupos-de-lie-santilli","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/isovariedades-isodiferenciables-y-grupos-de-lie-santilli\/","title":{"rendered":"Isovariedades isodiferenciables y grupos de lie-santilli"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ra\u00fal Manuel Falc\u00f3n Ganfornina <\/strong><\/h2>\n<p>La memoria que se presenta trata sobre la extensi\u00f3n de la isoteor\u00eda de santilli a variedades diferenciables y grupos de lie.  la isoterapia consiste esencialmente en extender el concepto de unidad a un operador que depende de factores externos y que, respecto a ellos, puede ser no lineal y no hamiltoniano. Se abre esta nueva forma de unidad se extienden (levantan) las teor\u00edas tradicionales de las matem\u00e1ticas: \u00e1lgebras an\u00e1lisis, geometr\u00eda, etc.  en la tesis que nos ocupa se introducen en primer lugar las herramientas necesarias para obtener la extensi\u00f3n, es decir, el levantamiento isot\u00f3pico, de los grupos de lie, haciendo uso del modelo de construcci\u00f3n del isoproducto basado en la multiplicaci\u00f3n, introducido en trabajos anteriores por el propio autor de la misma, cuya construcci\u00f3n es el objetivo final de dicha tesis. Para ello, previamente deben extenderse el c\u00e1lculo diferencial y las variedades diferenciables, que dar\u00e1n lugar, respectivamente, al c\u00e1lculo isodifernecial y a las isovariedades isodiferenciables. Para llevar a cabo tales construcciones se hace uso de las denominadas \u00abisotop\u00edas de santilli\u00bb, en particular las obtenidas a partir de una isounidad i y de una operaci\u00f3n.  la memoria est\u00e1 estructurada en 5 cap\u00edtulos. En el primero se presentan las definiciones y los resultados ya conocidos m\u00e1s importantes sobre isoteor\u00eda. en los siguientes tres cap\u00edtulos se estudian las extensiones de la geometr\u00eda euclidea, c\u00e1lculo diferencial y variedades diferenciales, respectivamente, con vista a su posterior uso en el levantamiento de los grupos de lie.  finalmente, el \u00faltimo cap\u00edtulo de la tesis est\u00e1 dedicado a la construcci\u00f3n de los isogrupos isot\u00f3picos de lie y de los grupos de isotransformaciones, objetivo principal de la misma.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Isovariedades isodiferenciables y grupos de lie-santilli<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Isovariedades isodiferenciables y grupos de lie-santilli <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ra\u00fal Manuel Falc\u00f3n Ganfornina <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/06\/2005<\/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>Juan N\u00fa\u00f1ez Vald\u00e9s<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Jes\u00fas Castro jim\u00e9nez <\/li>\n<li>Antonio Quintero toscano (vocal)<\/li>\n<li> Cabrerizo jar\u00e1iz Jos\u00e9 Luis (vocal)<\/li>\n<li>Jos\u00e9 G\u00f3mez torrecillas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ra\u00fal Manuel Falc\u00f3n Ganfornina La memoria que se presenta trata sobre la extensi\u00f3n de la isoteor\u00eda 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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