论文信息 - A counter-example to a C2 closing lemma

A counter-example to a C2 closing lemma

Let M be a compact manifold that contains a two-dimensional punctured torus. Given p ∈ M and an integer r ≥ 2, there exists X ∈ ∞ ( M ) having non-trivial recurrent trajectories and such that, for some neighbourhood of X | ( M −{ p }) in r ( M −{ p }), no Y ∈ has closed orbits.

Carlos Gutierrez | C. Gutierrez

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