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.

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