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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 268, Pages 258–267
(Mi tm2868)
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This article is cited in 7 scientific papers (total in 7 papers)
Singularities of a geodesic flow on surfaces with a cuspidal edge
A. O. Remizov International School for Advanced Studies (SISSA), Trieste, Italy
Abstract:
This paper is a study of singularities of geodesic flows on surfaces with nonisolated singular points that form a smooth curve (like a cuspidal edge). The main results of the paper are normal forms of the corresponding direction field on the tangent bundle of the plane of local coordinates and the projection of its trajectories to the surface.
Received in September 2009
Citation:
A. O. Remizov, “Singularities of a geodesic flow on surfaces with a cuspidal edge”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 258–267; Proc. Steklov Inst. Math., 268 (2010), 248–257
Linking options:
https://www.mathnet.ru/eng/tm2868 https://www.mathnet.ru/eng/tm/v268/p258
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Abstract page: | 517 | Full-text PDF : | 71 | References: | 105 |
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