Groups of transformations of a G-structure which leave invariant a substructure

Abstract

The author considers an m-dimensional manifold M, two closed subgroups G, H of GL(m;R) with G containing H, and a G-structure p:A!M. A Lie group of transformations of A is said to be inessential if there exists anH-structure B in A such that Aut(B). The aim of this paper is to impose conditions onM, G,H,A and so that is inessential.