2006•NonlinearityOpen access

Slow diffeomorphisms of a manifold with action

Ronit Fuchs

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Abstract

Given a diffeomorphism of a smooth manifold, consider the sequence formed by the uniform norms of the differentials of its iterations. Assuming that the manifold admits an effective action of , we construct measure-preserving diffeomorphisms for which this sequence has an arbitrarily slow growth.

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What this paper is about

Given a diffeomorphism of a smooth manifold, consider the sequence formed by the uniform norms of the differentials of its iterations. Assuming that the manifold admits an effective action of , we construct measure-preserving diffeomorphisms for which this sequence has an arbitrarily slow growth.

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Available abstract

Given a diffeomorphism of a smooth manifold, consider the sequence formed by the uniform norms of the differentials of its iterations. Assuming that the manifold admits an effective action of , we construct measure-preserving diffeomorphisms for which this sequence has an arbitrarily slow growth.

Key concepts: Mathematics, Action (physics), Manifold (fluid mechanics), Invariant manifold, Pure mathematics, Closed manifold, Diffeomorphism, Mathematical analysis

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