Feuilleter
no. 5
Horocyclic and geodesic orbits on geometrically infinite surfaces with variable negative curvature
María Victoria García1
1 Universidad de la República, Facultad de Ciencias Económicas y Administración, Departamento de Métodos Cuantitativos, 1926 G. Ramirez st., Montevideo (Uruguay)
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 34 (2025) no. 5, pp. 1325-1344

We study the behaviour of the horocyclic orbit of a vector on the unit tangent bundle of a geometrically infinite surface with variable negative curvature, when the corresponding geodesic ray is almost minimizing and the injectivity radius is finite.

On étudie le comportement de l’orbite horocyclique d’un vecteur sur le fibré tangent unitaire d’une surface géométriquement infinie à courbure négative variable, lorsque le rayon géodésique correspondant est presque minimisant et que le rayon d’injectivité est fini.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1834
Classification : 10X99, 14A12, 11L05
Keywords: Horocyclic flow, variable negative curvature, geometrically infinite surfaces
Mots-clés : semblable banalité, autosimilarité logarithmique, loi de Gauß

María Victoria García 1

1 Universidad de la República, Facultad de Ciencias Económicas y Administración, Departamento de Métodos Cuantitativos, 1926 G. Ramirez st., Montevideo (Uruguay)
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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María Victoria García. Horocyclic and geodesic orbits on geometrically infinite surfaces with variable negative curvature. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 34 (2025) no. 5, pp. 1325-1344. doi: 10.5802/afst.1834

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