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Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting
Dominated splitting Minimal system Invariant and ergodic measure Recurrence
2011/7/28
Abstract: 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 diffeo...
A diffeomorphism with global dominated splitting can not be minimal
diffeomorphism global dominated splitting
2010/11/18
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...