A diffeomorphism with global dominated splitting can not be minimal

Details A diffeomorphism with global dominated splitting can not be minimal A diffeomorphism with global dominated splitting can not be minimal

2010-11-12

arxiv.org/abs/1011.2844v1

Mathematics

Dynamical Systems

5 pages. An application of Liao's selecting lemma

Scientific paper

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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