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Smooth conjugacy of diffeomorphisms in a neighbourhood of an exponentially stable manifold. (Russian) Zbl 0703.58009

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
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