Coding of geodesics and Lorenz-like templates for some geodesic flows

Pierre Dehornoy; Tali Pinsky

doi:10.1017/etds.2016.59

Coding of geodesics and Lorenz-like templates for some geodesic flows

Pierre Dehornoy, Tali Pinsky

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.

Original language	English
Pages (from-to)	940-960
Number of pages	21
Journal	Ergodic Theory and Dynamical Systems
Volume	38
Issue number	3
DOIs	https://doi.org/10.1017/etds.2016.59
State	Published - 1 May 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

Access to Document

10.1017/etds.2016.59

Cite this

@article{2008948ec20142c199b3ea8a8d8e12e9,

title = "Coding of geodesics and Lorenz-like templates for some geodesic flows",

abstract = "We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.",

author = "Pierre Dehornoy and Tali Pinsky",

note = "Publisher Copyright: {\textcopyright} Cambridge University Press, 2016.",

year = "2018",

month = may,

day = "1",

doi = "10.1017/etds.2016.59",

language = "الإنجليزيّة",

volume = "38",

pages = "940--960",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - Coding of geodesics and Lorenz-like templates for some geodesic flows

AU - Dehornoy, Pierre

AU - Pinsky, Tali

PY - 2018/5/1

Y1 - 2018/5/1

N2 - We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.

AB - We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.

UR - http://www.scopus.com/inward/record.url?scp=84988447847&partnerID=8YFLogxK

U2 - 10.1017/etds.2016.59

DO - 10.1017/etds.2016.59

M3 - مقالة

SN - 0143-3857

VL - 38

SP - 940

EP - 960

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

Coding of geodesics and Lorenz-like templates for some geodesic flows

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this