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Livsic theorems for hyperbolic flows


Author: C. P. Walkden
Journal: Trans. Amer. Math. Soc. 352 (2000), 1299-1313
MSC (1991): Primary 58F15; Secondary 22E99
Published electronically: September 17, 1999
MathSciNet review: 1637106
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider Hölder cocycle equations with values in certain Lie groups over a hyperbolic flow. We extend Livsic's results that measurable solutions to such equations must, in fact, be Hölder continuous.


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Additional Information

C. P. Walkden
Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, U.K.
Address at time of publication: Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, U.K.
Email: cwalkden@ma.man.ac.uk

DOI: https://doi.org/10.1090/S0002-9947-99-02428-9
Received by editor(s): October 14, 1997
Published electronically: September 17, 1999
Additional Notes: Parts of this paper formed parts of a Ph.D. thesis written at Warwick University. Research supported by EPSRC Grant 94004020.
Article copyright: © Copyright 1999 American Mathematical Society