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Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting (1106.3737v1)

Published 19 Jun 2011 in math.DS, math-ph, and math.MP

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 diffeomorphism with nontrivial global generalized dominated splitting can not be minimal.

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