Feuilleter
no. 2
On the half-trajectories of horocyclic flow on geometrically infinite hyperbolic surfaces
Adamou Saidou1
1 Université Dan Dicko Dankoulodo de Maradi, Niger
Confluentes Mathematici, Tome 14 (2022) no. 2, pp. 139-147.

We study the density of half-horocycles or half-orbits of the horocyclic flow on the unit tangent bundle of geometrically infinite hyperbolic surfaces. In [10] Schapira proved that under some assumptions, both half-horocycles (h s v) s≥0 and (h s v) s≤0 are simultaneously dense or not in the nonwandering set of the horocyclic flow. We construct a counterexample, when the assumptions are not satisfied, on a surface of first kind, answering a question of Schapira [10].

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DOI : 10.5802/cml.89
Classification : 51M10, 51M09, 37D40, 20B07, 37C10
Mots clés : Geodesic flow, horocyclic flow, geometrically infinite surfaces

Adamou Saidou 1

1 Université Dan Dicko Dankoulodo de Maradi, Niger
Licence : CC-BY-NC-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Adamou Saidou. On the half-trajectories of horocyclic flow on geometrically infinite hyperbolic surfaces. Confluentes Mathematici, Tome 14 (2022) no. 2, pp. 139-147. doi : 10.5802/cml.89. https://cml.centre-mersenne.org/articles/10.5802/cml.89/

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