- 94-135 A. Banyaga, R. de la Llave, C. E. Wayne
- Cohomology equations near hyperbolic points and
geometric versions of Sternberg linearization theorem.
(100K, Plain TeX)
May 23, 94
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Abstract. We prove that if two germs of diffeomorphisms
preserving a volume, symplectic or contact structure are
tangent to a high enough order and the linearization is
hyperbolic, it is possible to find a smooth change of
variables preserving the same structure that sends one into
the other. This result is a geometric version of Sternberg's
linearization theorem which we recover as a particular case.
An analogous result is also proved for flows.