Slow Diffeomorphisms of a Manifold with Two Dimensions Torus Action

Details Slow Diffeomorphisms of a Manifold with Two Dimensions Torus Action Slow Diffeomorphisms of a Manifold with Two Dimensions Torus Action

2006-02-16

arxiv.org/abs/math/0602354v1

Mathematics

Dynamical Systems

12 pp

Scientific paper

10.1088/0951-7715/19/7/011

The uniform norm of the differential of the n-th iteration of a diffeomorphism is called the growth sequence of the diffeomorphism. In this paper we show that there is no lower universal growth bound for volume preserving diffeomorphisms on manifolds with an effective two dimensions torus action by constructing a set of volume-preserving diffeomorphisms with arbitrarily slow growth.

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