Horocycle flows without minimal sets

J. Math. Sci. Univ. Tokyo
Vol. 23 (2016), No. 3, Page 661–673.

Matsumoto, Shigenori
Horocycle flows without minimal sets
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Abstract:
We show that the horocycle flows of open tight hyperbolic surfaces do not admit minimal sets.

Keywords: Fuchsian group, horocycle flow, minimal set

Mathematics Subject Classification (2010): Primary 20H10, Secondary 37F30
Mathematical Reviews Number: MR3526584

Received: 2015-01-05