$C^1$ Connecting Lemmas

By Lan Wen, Zhihong Xia. 2000

75 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/52159ccc57ebaa93517276137793887397a17b06

Citations in the corpus

• On the singular hyperbolicity of star flows (2013, unknown): “cu(φY iT (x))) ≥ e ηπ(γ). Remark. For simplicity, we will assume the constant T= 1. 2.2 C1 connecting and generic results for flows We need the following two versions of connecting lemmas. Lemma 2.3. ([30]) For any vector field X ∈ X1(Md) and any neighborhood U of X, for any point z /∈ Per(X) ∪ Sing(X”