Genericity of geodesic flows with positive topological entropy on \(S^2\)
type: Item
instance of: scholarly article
title: Genericity of geodesic flows with positive topological entropy on \(S^2\)
zbMATH Open document ID: 1048.53061
author: Gonzalo Contreras-Barandiarán
author: Gabriel P. Paternain
published in: Journal of Differential Geometry
publication date: 2004-03-08T00:00:00Z
review text: In the paper under review the authors prove that the set of \(C^\infty\) Riemannian metrics on \(S^2\) and \(\mathbb{R}P^2\) whose geodesic flow has positive topological entropy is open and dense in the \(C^2\) topology.
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 2052871
zbMATH Keywords: geodesic flow
zbMATH Keywords: topological entropy
zbMATH Keywords: stable manifolds
zbMATH Keywords: bumpy metrics.
reviewed by: Mircea Puta
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1090351319
OpenAlex ID: W2115250599
Wikidata QID: Q115201697
DOI: 10.4310/JDG/1090351319
description: scientific article; zbMATH DE number 2052871