Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting

Details Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting

2011-06-19

arxiv.org/abs/1106.3737v1

Mathematics

Dynamical Systems

9pages, 1 figures

Scientific paper

We introduce a new notion called generalized dominated splitting which is
weaker than classical dominated splitting. We use this notion to generalize a
result of Zhang\cite{Zh}: every diffeomorphism with nontrivial global
generalized dominated splitting can not be minimal.

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