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arXiv · 1011.2844

A diffeomorphism with global dominated splitting can not be minimal

Pengfei Zhang
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Abstract

Let M be a closed manifold and f be a diffeomorphism on M. We show that if f has a nontrivial dominated splitting TM=E\oplus F, then f can not be minimal. The proof mainly use Mane's argument and Liao's selecting lemma.

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Pengfei Zhang. 2010-11-12. A diffeomorphism with global dominated splitting can not be minimal. https://doi.org/10.1090/s0002-9939-2011-10956-0

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