Lee, Manseob Locally maximal homoclinic classes for generic diffeomorphisms. (English) Zbl 1379.37044 Balkan J. Geom. Appl. 22, No. 2, 44-49 (2017). Summary: Let \(M\) be a closed smooth \(d(\geq 2)\) dimensional Riemannian manifold and let \(f : M \to M\) be a diffeomorphism. For \(C^1\) generic \(f\), a locally maximal homogeneous homoclinic class is hyperbolic. Cited in 5 Documents MSC: 37C05 Dynamical systems involving smooth mappings and diffeomorphisms 37C20 Generic properties, structural stability of dynamical systems 37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 53B21 Methods of local Riemannian geometry Keywords:homoclinic class; Riemannian manifold; diffeomorphism PDFBibTeX XMLCite \textit{M. Lee}, Balkan J. Geom. Appl. 22, No. 2, 44--49 (2017; Zbl 1379.37044)