Horocyclic and geodesic orbits on geometrically infinite surfaces with variable negative curvature

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.

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Publication Details

Journal
Annales de la faculté des sciences de Toulouse Mathématiques
Published
2025-10-31
DOI
https://doi.org/10.5802/afst.1834
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Horocyclic and geodesic orbits on geometrically infinite surfaces with variable negative curvature

M. A. Garcı̀a
Annales de la faculté des sciences de Toulouse Mathématiques
Geometric Analysis and Curvature Flows
article

Horocyclic and geodesic orbits on geometrically infinite surfaces with variable negative curvature

M. A. Garcı̀a
article en

Abstract

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.

Annales de la faculté des sciences de Toulouse MathématiquesVol. 34(5)
Openalex Percentile: Top 56%
Geometric Analysis and Curvature Flows
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Horocyclic and geodesic orbits on geometrically infinite surfaces with variable negative curvature — M. A. Garcı̀a · Annales de la faculté des sciences de Toulouse Mathématiques (2025) | TGRS Research Map | TGRS