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Sbornik: Mathematics, 2006, Volume 197, Issue 4, Pages 595–621
DOI: https://doi.org/10.1070/SM2006v197n04ABEH003771 (Mi sm1548) 		 
This article is cited in 27 scientific papers (total in 27 papers)

The Maxwell set in the generalized Dido problem

Yu. L. Sachkov

Program Systems Institute of RAS
English version PDF (433 kB) Citations (27)
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DOI: https://doi.org/10.1070/SM2006v197n04ABEH003771
Abstract: The generalized Dido problem is considered — a model of the nilpotent sub-Riemannian problem with the growth vector $(2,3,5)$. We study the Maxwell set, that is, the locus of the intersection points of geodesics of equal lengths. A general description is obtained for the Maxwell strata corresponding to the symmetry group of the exponential map generated by rotations and reflections. The invariant and graphic meaning of these strata is clarified.
Bibliography: 19 titles.
Received: 28.03.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 4, Pages 123–150
DOI: https://doi.org/10.4213/sm1548
Bibliographic databases:
UDC: 517.977
MSC: Primary 53C17; Secondary 17B66, 49J15, 53C22, 93C15
Language: English
Original paper language: Russian
Citation: Yu. L. Sachkov, “The Maxwell set in the generalized Dido problem”, Mat. Sb., 197:4 (2006), 123–150; Sb. Math., 197:4 (2006), 595–621
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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    References:84
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