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Sbornik: Mathematics, 2006, Volume 197, Issue 2, Pages 235–257
DOI: https://doi.org/10.1070/SM2006v197n02ABEH003756 (Mi sm1514) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Discrete symmetries in the generalized Dido problem

Yu. L. Sachkov

Program Systems Institute of RAS
English version PDF (401 kB) Citations (27)
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DOI: https://doi.org/10.1070/SM2006v197n02ABEH003756
Abstract: The generalized Dido problem is considered — a model of the nilpotent sub-Riemannian problem with the growth vector $(2,\,3,\,5)$. The group of discrete symmetries in this problem is constructed as an extension of the reflection group of the standard mathematical pendulum. The action of these symmetries in the inverse image and image of the exponential map is studied.
Bibliography: 16 titles.
Received: 28.03.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 2, Pages 95–116
DOI: https://doi.org/10.4213/sm1514
Bibliographic databases:
UDC: 517.977
MSC: Primary 53C17; Secondary 17B66, 49J15, 53C22, 93C15
Language: English
Original paper language: Russian
Citation: Yu. L. Sachkov, “Discrete symmetries in the generalized Dido problem”, Mat. Sb., 197:2 (2006), 95–116; Sb. Math., 197:2 (2006), 235–257
Citation in format AMSBIB
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    English version PDF:7
    References:76
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