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Remarks on the horocycle flows for foliations by hyperbolic surfaces


Author: Shigenori Matsumoto
Journal: Proc. Amer. Math. Soc. 145 (2017), 355-362
MSC (2010): Primary 53C12; Secondary 57R30, 20H10
DOI: https://doi.org/10.1090/proc/13184
Published electronically: June 30, 2016
MathSciNet review: 3565386
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Abstract: We show that the horocycle flow associated with a foliation on a compact manifold by hyperbolic surfaces is minimal under certain conditions.


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Additional Information

Shigenori Matsumoto
Affiliation: Department of Mathematics, College of Science and Technology, Nihon University, 1-8-14 Kanda, Surugadai, Chiyoda-ku, Tokyo, 101-8308 Japan
Email: matsumo@math.cst.nihon-u.ac.jp

DOI: https://doi.org/10.1090/proc/13184
Keywords: Foliations, hyperbolic surfaces, horocycle flows, minimal sets.
Received by editor(s): August 7, 2015
Received by editor(s) in revised form: March 6, 2016
Published electronically: June 30, 2016
Additional Notes: The author was partially supported by Grant-in-Aid for Scientific Research (C) No. 25400096.
Communicated by: Yingfei Yi
Article copyright: © Copyright 2016 American Mathematical Society