|
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
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
Citation:
Yu. L. Sachkov, “The Maxwell set in the generalized Dido problem”, Sb. Math., 197:4 (2006), 595–621
Linking options:
https://www.mathnet.ru/eng/sm1548https://doi.org/10.1070/SM2006v197n04ABEH003771 https://www.mathnet.ru/eng/sm/v197/i4/p123
|
Statistics & downloads: |
Abstract page: | 634 | Russian version PDF: | 235 | English version PDF: | 14 | References: | 87 | First page: | 2 |
|