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Katok Closing Lemma for Non-singular Endomorphisms

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This work is an adaptation of the Katok Closing Lemma for non-singular, endomorphisms on a compact Riemannian manifold. In special, it appears the idea of the proof of the hyperbolicity… Click to show full abstract

This work is an adaptation of the Katok Closing Lemma for non-singular, endomorphisms on a compact Riemannian manifold. In special, it appears the idea of the proof of the hyperbolicity as well as the admissibility of local stable-unstable manifolds of a proper periodic point in adapted Katok Closing Lemma.

Keywords: katok closing; closing lemma; singular endomorphisms; lemma non; non singular

Journal Title: Results in Mathematics
Year Published: 2020

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