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arXiv · 1106.3737

Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting

Xueting Tian
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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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Xueting Tian. 2011-06-19. Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting. https://arxiv.org/abs/1106.3737

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