Pinto, A. A. and Rand, D. A. (David A.). (2002) Smoothness of holonomies for codimension 1 hyperbolic dynamics. Bulletin of the London Mathematical Society, Vol.34 (No.3). pp. 341-352. ISSN 0024-6093

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Covering spaces (Topology), Geometry, Algebraic, Modular representations of groups, Function spaces, Banach algebras, Rings (Algebra)
Journal or Publication Title:	Bulletin of the London Mathematical Society
Publisher:	Cambridge University Press
ISSN:	0024-6093
Date:	May 2002
Volume:	Vol.34
Number:	No.3
Page Range:	pp. 341-352
Identification Number:	10.1112/S0024609301008670
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/788

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