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Sbornik: Mathematics, 2008, Volume 199, Issue 5, Pages 663–671
DOI: https://doi.org/10.1070/SM2008v199n05ABEH003938 (Mi sm4504) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A sufficient condition for reduction by stages: proof and applications

I. V. Mykytyukab, A. M. Stepincd

a Institute of Mathematics, Rzeszów University
b Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
d Russian State University for the Humanities
English version PDF (234 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2008v199n05ABEH003938
Abstract: In this paper we prove the Marsden-Misiołek-Ortega-Perlmutter-Ratiu Stages Hypothesis, which is a sufficient condition for a general reduction by stages theorem. Our Lie-algebraic approach allows us to prove this conjecture in a general case (not only for semidirect products of groups with cocycle) and to simplify the proof of a general reduction by stages theorem (with some modifications).
Bibliography: 8 titles.
Received: 30.12.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 5, Pages 35–44
DOI: https://doi.org/10.4213/sm4504
Bibliographic databases:
UDC: 514.756.4
MSC: 37J15, 53D20
Language: English
Original paper language: Russian
Citation: I. V. Mykytyuk, A. M. Stepin, “A sufficient condition for reduction by stages: proof and applications”, Mat. Sb., 199:5 (2008), 35–44; Sb. Math., 199:5 (2008), 663–671
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    References:58
    First page:15
     
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