Geodesic flows with positive topological entropy, twist maps and hyperbolicity

• 成果类型: Article
• 署名作者: Contreras, Gonzalo
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2010
• 页码: 761-808
• 关键词: closed geodesics; genericity; STABILITY

摘要

We prove a perturbation lemma for the derivative of geodesic flows in high dimension. This implies that a C-2 generic riemannian metric has a nontrivial hyperbolic basic set in its geodesic flow.