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Summer 2016 Growth of some transversely homogeneous foliations
Jesús A. Álvarez López, Robert Wolak
Illinois J. Math. 60(2): 447-457 (Summer 2016). DOI: 10.1215/ijm/1499760016

Abstract

For transversely homogeneous foliations on compact manifolds whose global holonomy group has connected closure, it is shown that either all holonomy covers of the leaves have polynomial growth with degree bounded by a common constant, or all holonomy covers of the leaves have exponential growth. This is an extension of a recent answer given by Breuillard and Gelander to a question of Carrière. Examples of transversely projective foliations satisfying the above condition were constructed by Chihi and ben Ramdane.

Citation

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Jesús A. Álvarez López. Robert Wolak. "Growth of some transversely homogeneous foliations." Illinois J. Math. 60 (2) 447 - 457, Summer 2016. https://doi.org/10.1215/ijm/1499760016

Information

Received: 20 January 2015; Revised: 22 February 2017; Published: Summer 2016
First available in Project Euclid: 11 July 2017

zbMATH: 1370.57012
MathSciNet: MR3680542
Digital Object Identifier: 10.1215/ijm/1499760016

Subjects:
Primary: 57R30

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

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Vol.60 • No. 2 • Summer 2016
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