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Quasiminimal invariants for foliations of orientable closed surfaces

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Abstract

The Katok bound for the dimension of the cone of invariant measures for “quasiminimal” orientable foliations of closed oriented surfaces is extended to the nonquasiminimal case, in particular allowing for more general singularities. Equivalence of the Katok bound a bound for the dimension of the cone of invariant measures for a minimal interval exchange is established.

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Authors and Affiliations

  1. Department of Mathematics, Rice University, 77251, Houston, Texas, USA

    William A Veech

Authors
  1. William A Veech
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Additional information

Research supported by NSF-MCS75-05577; the paper was circulated in preprint form in 1978

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Veech, W.A. Quasiminimal invariants for foliations of orientable closed surfaces. Proc. Indian Acad. Sci. (Math. Sci.) 99, 27–48 (1989). https://doi.org/10.1007/BF02874646

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  • DOI: https://doi.org/10.1007/BF02874646

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