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A diffeomorphism with global dominated splitting can not be minimal (1011.2844v1)
Published 12 Nov 2010 in math.DS
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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