MARIN ARANGO, CARLOS ALBERTO. Isometric immersions into Riemannian Manifolds. []. , 29, 1, pp.31-54. ISSN 0120-419X.

Abstract. This paper summarizes the basic theory of connections in principal bundles and vector bundles in order to apply these theories to the study of isometric immersions in Riemannian manifolds; by an appropriate version of the Frobenius theorem we show a result that generalizes the Fundamental Theorem of isometric immersions.

: vector bundles; frame bundles and connections; isometric immersions..

        · |     · |     · ( pdf )