Horocycle flow on a surface of negative curvature is separating
type: Item
instance of: scholarly article
title: Horocycle flow on a surface of negative curvature is separating
zbMATH Open document ID: 0563.58024
DOI: 10.1007/BF01137415
author: A. A. Gura
published in: Mathematical Notes
publication date: 1984-01-01T00:00:00Z
review text: Let M be a compact connected oriented surface equipped with a Riemannian metric of negative curvature of class \(C^ 3\). A flow on M is separating if there exists \(\epsilon >0\) such that the distance between each pair of points moving along distinct trajectories becomes greater that \(\epsilon\) at some instant T. The author recalls the definition of the horocycle flow on M; then he proves that horocycle flows are separating.
reviewed by: Andrea Bacciotti
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 3897881
zbMATH Keywords: geodesic flow
zbMATH Keywords: separating flow
zbMATH Keywords: horocycle flow
MaRDI profile type: Publication
cites work: Q5566243
cites work: Q3940510
cites work: Geometry of horospheres
cites work: Unique ergodicity of the horocycle flow: variable negative curvature case
Wikidata QID: Q125585015
description: scientific article; zbMATH DE number 3897881