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Smoothness of holonomies for codimension 1 hyperbolic dynamics

By A. A. Pinto and D. A. (David A.) Rand

Abstract

Hyperbolic invariant sets {Lambda} of C1+{gamma} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the {Lambda} has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+{alpha} for some 0 < {alpha} < 1

Topics: QA
Publisher: Cambridge University Press
Year: 2002
OAI identifier: oai:wrap.warwick.ac.uk:788

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