Bronshtejn, I. U.; Kopanskij, A. Ya. Smooth conjugacy of diffeomorphisms in a neighbourhood of an exponentially stable manifold. (Russian) Zbl 0703.58009 Mat. Issled. 106, 3-11 (1989). Conditions are obtained for the smooth equivalence of weakly nonlinear morphisms of an exponentially stable vector bundle, which improve upon the previous work by C. Robinson [Bol. Soc. Bras. Mat. 2, No.1, 33- 44 (1971; Zbl 0355.58008)], in the sense of S. Sternberg [Am. J. Math. 79, 809-824 (1957; Zbl 0080.299)]. Reviewer: D.Repovš MSC: 58C99 Calculus on manifolds; nonlinear operators 55R99 Fiber spaces and bundles in algebraic topology 58C25 Differentiable maps on manifolds Keywords:smooth conjugacy of diffeomorphisms; exponentially stable manifold; nonlinear morphisms; exponentially stable vector bundle Citations:Zbl 0083.456; Zbl 0355.58008; Zbl 0080.299 PDFBibTeX XMLCite \textit{I. U. Bronshtejn} and \textit{A. Ya. Kopanskij}, Mat. Issled. 106, 3--11 (1989; Zbl 0703.58009) Full Text: EuDML