Topological entropy of minimal geodesics and volume growth on surfaces

Simple item page
AuteurGLASMACHERS, EVA
AuteurKNIEPER, GERHARD
AuteurOGOUYANDJOU, KOLADE SIMPLICE EPHREM CARLOS
AuteurSCHROEDER, JAN PHILIPP
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2014
ResumeLet (M, g) be a compact Riemannian manifold of hyperbolic type, i.e M is a manifold admitting another metric of strictly negative curvature. In this paper we study the geodesic flow restricted to the set of geodesics which are minimal on the universal covering. In particular for surfaces we show that the topological entropy of the minimal geodesics coincides with the volume. entropy of (M, g) generalizing work of Freire and Mañé.
DOI10.3934/jmd.2014.8.75
Autre identifiantBECDB-6836
URIhttps://dspace.uac.bj/handle/123456789/6184
Languefr
Fait partie deJournal of Modern Dynamics
SujetGeodesic flows on surfaces
Sujettopological entropy
Sujetvolume growth
TitreTopological entropy of minimal geodesics and volume growth on surfaces
TypeArticle

Files

Collections

Articles