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Invariant jets of foliations along hyperbolic sets

Published online by Cambridge University Press:  01 August 2000

PATRICK D. McSWIGGEN
PATRICK D. McSWIGGEN
Affiliation:
Department of Mathematical Sciences, The University of Cincinnati, Cincinnati, OH 45221-0025, USA (e-mail: pat.mcswiggen@uc.edu)
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Abstract

It is shown that under certain conditions a hyperbolic set will possess an invariant structure in addition to the invariant submanifolds. This invariant structure is in the form of a ‘jet of a foliation’ along the leaves.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 4 , August 2000 , pp. 1187 - 1214
Copyright
2000 Cambridge University Press

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