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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 238, Pages 5–54
(Mi tm342)
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This article is cited in 6 scientific papers (total in 6 papers)
Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces
D. V. Anosova, E. V. Zhuzhomab a Steklov Mathematical Institute, Russian Academy of Sciences
b Nizhny Novgorod State Technical University
Abstract:
To date, a large number of publications have appeared that are devoted to the study of asymptotic properties of the lifts of curves without self-intersections to the universal covering and the “collation” of these curves (in a certain sense) with lines of constant geodesic curvature that have the same asymptotic direction as the curves under investigation. This paper contains a survey of the results obtained. The ideas of proofs for the main results and the sketches of constructions for important examples on this subject field are presented.
Received in January 2002
Citation:
D. V. Anosov, E. V. Zhuzhoma, “Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces”, Monodromy in problems of algebraic geometry and differential equations, Collected papers, Trudy Mat. Inst. Steklova, 238, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 5–54; Proc. Steklov Inst. Math., 238 (2002), 1–46
Linking options:
https://www.mathnet.ru/eng/tm342 https://www.mathnet.ru/eng/tm/v238/p5
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Abstract page: | 495 | Full-text PDF : | 195 | References: | 67 |
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