جزییات کتاب
This is an English translation of Elie Cartan's 1935 work, entitled "La méthode du repère mobile, la théorie des groupes continus et les espaces généralisés". It discusses in depth the theory underlying Cartan's method of the moving frame and its close relation to group theory. In essence, Cartan invented the concept of the Principal Frame Bundle, later to be formalised in Bourbaki type language by Ehresman and other authors. Cartan also indicates how the concept of the moving frame can be generalised to Kleinian geometries and to the manifolds whose local geometry is a Kleinian geometry.