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Correction to ‘Equivariant spectral decomposition for flows with a ℤ-action’

Published online by Cambridge University Press:  19 September 2008

Lee Mosher
Lee Mosher
Affiliation:
Department of Mathematics, Rutgers University, Newark, NJ 07102, USA
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The statement and proof of the ℤ-spectral decomposition theorem for a pseudo-Anosov flow φ on a 3-manifold M are in error (see [1]). There are counter-examples which show that the theorem as stated is false. We remark that the results of § 9 of [1], concerning analogues of the ℤ-spectral decomposition theorem for basic sets of Axiom A flows, are unaffected by this error.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 4 , December 1990 , pp. 787 - 791
Copyright
Copyright © Cambridge University Press 1990

References

REFERENCES

[1]Mosher, L.. Equivalent spectral decomposition for flows with a ℤ-action. Ergod. Th. & Dynam. Sys. 9 (1989), 329–378.Google Scholar
[2]Mosher, L.. Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3-manifolds. J. Diff. Geom. 31 (1990).Google Scholar