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Volume growth in the component of the Dehn–Seidel twist

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Abstract.

We consider an entropy-type invariant which measures the polynomial volume growth of submanifolds under the iterates of a map, and we show that this invariant is at least 1 for every diffeomorphism in the symplectic isotopy class of the Dehn–Seidel twist.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    U. Frauenfelder

  2. Mathematisches Institut, Universität Leipzig, 04109, Leipzig, Germany

    F. Schlenk

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  1. U. Frauenfelder
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  2. F. Schlenk
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Correspondence to U. Frauenfelder.

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Received: April 2004 Revision: June 2004 Accepted: October 2004

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Frauenfelder, U., Schlenk, F. Volume growth in the component of the Dehn–Seidel twist. GAFA, Geom. funct. anal. 15, 809–838 (2005). https://doi.org/10.1007/s00039-005-0526-7

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  • DOI: https://doi.org/10.1007/s00039-005-0526-7

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