Invariant connections on Euclidean space

abstract: We recall and solve the equivalence problem for a flat C connection ∇ in Euclidean space, with methods from the theory of differential equations. The problem consists in finding an affine transformation of R^n taking ∇ to the so called trivial connection. Generalized solutions are found in dime...

Full description

Bibliographic Details
Main Authors: Luisa Consiglieri, Rui Albuquerque
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2009-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/9069/5273