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Matematicheskie Zametki, 2013, Volume 93, Issue 6, Pages 869–877
DOI: https://doi.org/10.4213/mzm9309 (Mi mzm9309) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Classification of Cocycles over Ergodic Automorphisms with Values in the Lorentz Group and Recurrence of Cocycles

M. E. Lipatov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm9309
Abstract: It is proved that any $\mathrm{SO}_0(1,d)$-valued cocycle over an ergodic (probability) measure-preserving automorphism is cohomologous to a cocycle having one of three special forms; the recurrence property of such cocycles is also studied.
Keywords: cocycle, ergodic automorphism, recurrence of cocycles, Lorentz group $\mathrm{SO}_0(1,d)$, cohomology, conformal barycenter.
Received: 25.11.2011
Revised: 28.07.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 6, Pages 850–857
DOI: https://doi.org/10.1134/S0001434613050246
Bibliographic databases:
Document Type: Article
UDC: 519.218
Language: Russian
Citation: M. E. Lipatov, “Classification of Cocycles over Ergodic Automorphisms with Values in the Lorentz Group and Recurrence of Cocycles”, Mat. Zametki, 93:6 (2013), 869–877; Math. Notes, 93:6 (2013), 850–857
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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